PSI Lectures/2011

2010 <<< >>> 2012

Front

Complex Analysis - Tibra Ali

Lecture 1 - Review of the basics of complex numbers. Geometrical interpretation in terms of teh Argand-Wessel plane. DeMoivre's theorem and applications. Branch points and branch cuts.

Lecture 2a Lecture 2b - Cauchy-Riemann equations. Holomorphic functions and harmonic functions. Contour integration.

Lecture 3 - Cauchy's theorem and integral formula. Taylor's theorem. Singularities. Laurent's series. Residues.

Lecture 4 - Applications of the integral formula to evaluate integrals. Trigonometric integrals, semi-circular contours, mousehole contours, keyhole contours.

Linear Algebra - Anna Kostouki

Lecture 1 - Linear Vector Spaces, Linear Operators, Scalar Products, Dual Spaces, Adjoint Operators, Eigenvalues Eigenvectors, Hermitian Unitary Operators.

Lecture 2a Lecture 2b - Abstract Algebras, Structure Constants, Homomorphisms, Clifford Grassmann Algebras.

Lecture 3 - Group Theory: Finite groups and the permutation group. SU(2) and SO(3).

Lecture 4 - The Lorentz and Poincaré groups (a short review of Special Relativity).

Differential Equations - Sarah Croke

Lecture 1 - First order differential equations; examples: Einstein theory of radiation, optical attenuations; methods of solution.

Lecture 2 - Second order differential equations, homogeneous and inhomogeneous; reduction of order; variation of parameters; the Wronskian.

Lecture 3 - Series solutions; Euler's equation; Extended power series method, form of solutions in different cases; Bessel's equation.

Lecture 4 - Bessel Functions; Separation of variables; Spherical Harmonics; WKB approximation.

Evaluation of Integrals and Calculous of Variations -Denis Dalidovich

Lecture 1 - Gaussian Integrals in one and many dimensions. Averages with the Gaussian weight.

Lecture 2 - Wick's Theorem. Imaginary Gaussian Integral. Gaussian Integral with Grassman variables.

Lecture 3- Functionals and functional derivatives. Euler-Lagrange equations; examples from classical mechanics.

Lecture 4 - Noether's theorem. Functionals describing continuous systems; Lagrangian density. Extrema of functionals subject to contraints; Lagrange multipliers.

Special Functions and Distributions - Dan Wohns

Lecture 1 - Dirac delta; Test functions; Distributions and their derivatives.

Lecture 2 - Orthogonal polynomials; Recurrence relations; Weights.

Lecture 3 - Generalized Rodrigues' formulae; Classification of orthogonal polynomials; Sturm-Liouville theory.

Lecture 4 - Gamma; Zeta; Hypergeometric functions

Integral Transforms and Green's Functions - David Kubiznak

Lecture 1 - Fourier Series

Lecture 2 - Laplace Fourier transform

Lecture 3 - Green's functions

Lecture 4 - Applications

Lie Groups and Lie Algebra's - Freddy Cachazo

Lecture 1 - Introduction to Lie Groups and Lie Algebras in Physics. Lie groups, representations, structure constants.

Lecture 2 - The Poincaré group algebra. Representations on Hilbert space. Massless and massive irreps. The Little Group.

Lecture 3 - Classifications of Lie Algebras. Helicity and Spin. Highest weight representations of SU(2).

Lecture 4 - The Adjoint representation. Classification of (simple) Lie Algebras. Roots diagrams and Dynkin diagrams.

Lecture 5 - The group associated with the standard model of particle physics. Weights. Highest weight representations. Fundamental and anti-fundamental representations of su(3). Tensor products of representations. Clebsch-Gordan Decomposition. Young's Tableaux.

Mathematica - Pedro Vieira

Lecture 1 - Mathematica Basics

Lecture 2 - Heisenberg Spin Chain

Lecture 3 - Gamma Matrices

Lecture 4 - Harmonic Oscillator and Perturbation Theory

Lecture 5 - Q A Session

RESEARCHER PRESENTANTIONS:

Core

Quantum Theory - Adrian Kent

Lecture 1 - Gaussian wave-packets, double-slit experiment, tension with special relativity.

Lecture 2 - Unitary evolution, Path integrals.

Lecture 3 - Discussion of path integral. Problems deriving classical physics from quantum theory.

Lecture 4 - Feynman checkerboard model, Angular momentum.

Lecture 5 - Spin, Bloch sphere, Quantum Zeno effect, Mixed states.

Lecture 6 - Guest Lecturer: Lucien Hardy. Interferometry, Elitzur-Vaidman bomb tester.

Lecture 7 - Guest Lecturer: Lucien Hardy. Quantum-optical interferometry, Ou-Hong-Mandel effect.

Lecture 8 - Guest Lecturer: Rafael Sorkin. The quantum measure. Three-slit experiment. Classical action.

Lecture 9 - Guest Lecturer: Rafael Sorkin. Mathematical details of the quantum measure. Unitarity.

Lecture 10 - Density matrices - definition and properties. Mixed states on the Bloch sphere. Proper and improper mixtures.

Lecture 11 - Entanglement. Partial trace. No-signaling.

Lecture 12 - EPR argument. Bell-CHSH inequalities. Experimental tests.

Lecture 13 - Hidden variables. Extensions of Bell-CHSH inequalities. No cloning.

Lecture 14 - Approximate cloning. Quanutm money.

Lecture 15 - Measurements in QM. Kraus operators. Decoherence. Many-worlds.

Relativity - Neil Turok

Lecture 1 - Maxwell's Theory and Special Relativity.

Lecture 2 - Lorentz Transformations.

Lecture 3 - Manifolds.

Lecture 4 - Tensors and Manifolds.

Lecture 5 - The Connection.

Lecture 6 - Geodesics, The Reimann Tensor.

Lecture 7 - Tensors in GR.

Lecture 8 - Action for relativistic particle, Einstein's equations.

Lecture 9 - The Stress Energy Tensor of a perfect fluid in GR, the Einstein - Hilbert Action, spherically symmetric solutions of Einstein's equations.

Lecture 10 - Schwarzschild solution, crossing the horizon, Krustal extension.

Lecture 11 - Schwarzschild solution, crossing the horizon, Krustal extension.

Lecture 12 - Particles in Schwarzschild, Precession of the Perihelion.

Lecture 13 - Rotating Black Hole (Kerr solution), Event horizons.

Lecture 14 - Causal Diagrams, Cosmological Solutions: maximally symmetric spaces, Friedmann equations.

Lecture 15 - Causal Diagrams, Cosmological Solutions: maximally symmetric spaces, Friedmann equations

Quantum Field Theory I - Konstantin Zarembo

Lecture 1a Lecture 1b - Second Quantization, Phonons.

Lecture 2 - Phonons, Divergences.

Lecture 3 - Klein-Gordon field, Conservation laws and symmetries.

Lecture 4 - Noether's theorem, Quantization of Klein-Gordon field, Dirac equation.

Lecture 5a Lecture 5b - Lorentz invariance and symmetries of Dirac Lagrangian.

Lecture 6 - Solutions of the Dirac equation, Quantization of the Dirac field.

Lecture 7 - Weyl fermions, Electromagnetic Field, Gauge transformations.

Lecture 8 - Quantum Electrodynamics, Perturbation Theory.

Lecture 9 - Response to Students' Questions, Dimensional Analysis.

Lecture 10 - Interaction Picture.

Lecture 11 - Wick's Theorem, Feynman Diagrams.

Lecture 12 - Feynman Propagator, Momentum Space Feynman Rules

Lecture 13 - Amplitudes, Cross Sections, Decay Rates.

Lecture 14 - QED Feynman rules, the Coulomb potential, Yukawa theory.

Statistical Mechanics - Leo Kadanoff

Lecture 1 - Introduction to statistical physics phenomena, Partition function.

Lecture 2 - Partition functions: means and variances. Non-interacting particles in a box.

Lecture 3 - Pressure of an ideal gas. One-Dimensional Ising model: exact solution.

Lecture 4 - One-dimensional Ising model: correlation length and solution by renormalization.

Lecture 5 - Two-dimensional Ising model: phase transitions.

Lecture 6 - Hopping on a lattice and diffusion equation.

Lecture 7 - Diffusion in momentum space. Brownian motion. Hamiltonian Dynamics.

Lecture 8 - Statistical ensambles, Stochastic processes, Fokker-Planck equation.

Lecture 9 - Boltzmann equation.

Lecture 10 - H-theorem. Kinetic equation for Fermi/Bose gases.

Lecture 11 - Van-der-Vaals equation. The notion of a phase transition.

Lecture 12 - Phase transitions, Mean field theory, Landau's theory.

Lecture 13 - Limitations of the mean field theory, Fluctuations.

Lecture 14 - Scaling and renormalization group.

Quantum Field Theory II - François David

Lecture 1 - Path Integral, Euclidean Time.

Lecture 2 - Semi-classical Expansion, Free Scalar Field.

Lecture 3 - Feynman propagator, Wick's Theorem, Interactions.

Lecture 4 - Feynman Diagrams, Generating Functionals, Loop Expansion.

Lecture 5 - Effective Action at One Loop.

Lecture 6 - Renormalization of Phi^4 Theory.

Lecture 7 - Renormalization of the coupling constant in massless Phi^ Theory, Renormalization Group.

Lecture 8 - Renormalization of the massless Phi^4, Operator Product Expansion.

Lecture 9 - Wilsonian Renormalization.

Lecture 10 - Renormalization Group Flow, Grassman Variables, Berezin Claculus.

Lecture 11 - Berezin Calculus, Fermionic Path Integrals.

Lecture 12 - Non-abelian Gauge Theories.

Lecture 13 - Quantization of Non-abelian Guage Theories, Guage Fixing, Faddeev-Popov Method.

Lecture 14 - Faddeev-Popov Lagrangian, Ghosts.

Lecture 15 - Renormalization of Guage Theories, Dimensional Regularization, Asymptotic Freedom, Lattice Guage Theories.

Condensed Matter - Nandini Trivedi

Lecture 1 - Basic ideas of Condensed Matter. Crystals, Bravais and reciprocal lattices, x-ray scattering, density-density correlations.

Lecture 2 - Collective modes of a crystal, dynamical matrix; mode quantization and phonons; thermodynamics of phonons and specific heat.

Lecture 3 - Symmetry breaking, long-range order and Goldstone modes; structure factor and Debye-Waller factor.

Lecture 4 - Quantum Indistinguishability; Fermi gas and the notion of Fermi liquid; Bose gas and Bose-Einstein condensation.

Lecture 5 - Electron-electron interactions and magnetism; Hund's rule; singlet-triplet splitting; spin Hamiltonian.

Lecture 6 - Heisenberg Hamiltonian and symmetry breaking; Ferromagnetism: ground state and excitations (spin waves); Antiferromagnetic state.

Lecture 7 - Antiferromagnets: spin singlets, RVB states, spin liquids in various dimensions; Schwinger boson approach; weakly interacting Bose gas.

Lecture 8 - Interacting Bose gas: Bogoliubov transformation, energy spectrum, ground state energy, depletion of the condensate.

Lecture 9 - Off-diagonal long-range order, phase fluctuations of condensate; Bose-Hubbard model, quantum phase transition.

Lecture 10 - Properties of superfluids and the phase diagram of He-4; vortices and Berenzinskii-Kosterlitz-Thouless transition.

Lecture 11 - Properties of superconductors; Cooper instability; Bardeen-Cooper-Schrieffer Hamiltonian.

Lecture 12 - BCS theory: spectral function, density of states, gap equation, calculation of the critical temperature.

Lecture 13 - Ginzburg-Landau theory: solutions for a bulk superconductor and superconductor with a boundary. London penetration depth and flux quantization.

Lecture 14 - Vortices in superconductors; type-1 and type-2 superconductors: Abrikosov vortex lattice; Josephson effect.

Lecture 15 - Josephson junction in a magnetic field.

Mathematical Physics - Carl Bender

Lecture 1 - Perturbation series. Brief introduction to asymptotics.

Lecture 2 - The Schroedinger equation. Riccati equation. Initial value problem. Perturbation series approach to solving the Schroedinger equation. The eigenvalue problem.

Lecture 3 -Putting a perturbative parameter in the exponent. Thomas-Fermi equation. KdV equation. Eigenvalue problem - analytic structure of the energy function. The square root function. Branch cuts. Shanks transform.

Lecture 4 - Acceleration of convergence. Shanks transform. Richardson extrapolation. Summing a divergent series. Euler summation. Borel summation. Generic summation machines.

Lecture 5 - Summation of divergent series continued. Analytic continuation of zeta and gamma functions. The anharmonic oscillator.

Lecture 6 - Continued fractions. Pade sequence. Stieltjes series.

Lecture 7 - Pade technique for summing a series. Asymptotic series. Fuchs' theorem. Frobenius series.

Lecture 8 - Local analysis. Asymtotic series solution to differential equations continued. WKB approximation.

Lecture 9 - Asymptotic series solution to differential equations continued. Optimal asymptotic approximation. Airy functions. Stokes phenomenon.

Lecture 10 - Asymptotic solutions to the inhomogeneous Airy equation. The rigourous theory of asymptotics. Stieltjes functions. The four properties of Stieltjes functions. Herglotz property.

Lecture 11 - Proof of Herglotz property of Stieltjes functions. Stieltjes functions and the convergence of Pade sequences. The moment problem. Carleman condition. The anharmonic oscillator as an example of Carleman condition.

Lecture 12 - Asymptotic distribution of the number of Feynman diagrams in phi^4 theory. Comparison with phi^6 and phi^8 theories. Sketch of the precise asymptotic expression for the coefficient of the perturbation theory.

Lecture 13 - Accuracy of WKB. Solution to the Sturm-Liouville problem using WKB. Turning points. Trajectories in complex classical mechanics.

Lecture 14 - Asymptotic solution to the Sturm-Liouville problem for two turning points. Asymptotic matching.

Lecture 15 - Solution to the two turning-point problem. Examples: the harmonic oscillator. V(x) = x^4. A brief introduction to hyper asymptotics.

Conformal Field Theory -Jaume Gomis

Lecture 1 - Introduction to CFTs (1): Conformal invariance of classical actions, RG flows and fixed points, classification of operators.

Lecture 2 - Introduction to CFTs (2): Critical phenomena in statistical physics, phase transitions.

Lecture 3 - Conformal Transformations Conformal Algebra.

Lecture 4 - Conserved currents and the Stress Energy Tensor.

Lecture 5 - Conformal Anomalies, Conformal Operators and Fields.

Lecture 6 - Conformal Fields contiued: Primaries and Descendants.

Lecture 7 - Correlation Functions in CFTs.

Lecture 8 - Correlators of Vectors and Tensors; D=2 CFTs: the complex plane, the de Witt algebra.

Lecture 9 - Primary and quasi-primary Operators, Correlators and the Stress Tensor in D=2.

Lecture 10 - Operator Product Expansion, Ward Identities, Virasoro Algebra.

Lecture 11 - Hilbert Space in CFTs, Primaries and descendants.

Lecture 12 - Operator/State Correspondence, Unitarity Bounds on CFTs.

Lecture 13 - Minimal models in D=2; Null vector decoupling equation.

Lecture 14 - Fusion rules; The Ising model in D=2.

Review

Standard Model (Review) - Philip Schuster, Natalia Toro

Lecture 1 - Particle Bestiary.

Lecture 2 - Quark Model, Standard Model Langrangian.

Lecture 3 - Standard Model Lagrangian.

Lecture 4 - Standard Model Lagrangian after Electroweak Symmetry Breaking.

Lecture 5 - Little Group, Single Particle States, Multi-Particle States.

Lecture 6 - Lorentz Transformation of Multi-Particle States, Fields from the S-Matrix, Spin-Statistics.

Lecture 7 - Particle Number Violation and Antiparticles, Effective Field Theories.

Lecture 8 - Effective Field Theories, Sigma Model.

Lecture 9 - Chiral Symmetry Breaking, Goldstone Bosons, Sigma Model for Pions.

Lecture 10 - Pions as Pseudo-Nambu-Goldstone Bosons.

Lecture 11 - Light meson masses, Pion Decays.

Lecture 12 - Jets, Altarelli-Parisi Splitting Functions.

Lecture 13 - Higgs Mechanism.

Lecture 14 - Massive Vector Bosons and Unitarity.

Lecture 15 - Higgs Searches.

Condensed Matter (Review) - Alioscia Hamma

Lecture 1 - Outline of the course. Phase transitions, critical points, scaling, the role of dimensionality. The concepts of phase and symmetry.

Lecture 2 - Review of the Ising model. Solidification transition. Transfer matrix formalism.

Lecture 3 - Correlation functions. The correspondence between statistical and quantum mechanics. The notion of a quantum phase transition.

Lecture 4 - Transverse Ising Model in one-dimension: ground state, quantum critical point, duality argument, exact solution using Jordan-Wigner transformation.

Lecture 5 - Locality in quantum soin systems. Lieb-Robinson theorem.

Lecture 6 - Lieb-Robinson bounds: Consequences of locality; effective light cone and the spread of information, bounds on correlation functions.

Lecture 7 - Fidelity, quantum geometric tensor; Berry phases in an XY chain.

Lecture 8 - Quantum geometric tensor near quantum phase transitions and for 1D Ising chain; the notion of entanglement.

Lecture 9 - Entanglement in many body systems, von Neumann entropy and the role of dimensionality; Lattice Z_2 guage model and Elitzur's theorem.

Lecture 10 - Phase transition in lattice Z_2 gauge model. Quantum lattice Z_2 guage theory, guage transforamtions.

Lecture 11 - Gauge-invariant Hilbert space in Z_2 guage theory; the notion of topological quantum order.

Lecture 12 - Toric code. String-net condensation.

Lecture 13 - Entanglement in topologically ordered ground state. Quantum double model.

Lecture 14 - Topological quantum phase transitions.

Lecture 15 - Lattice U(1) guage theory and emergent photons.

Foundations of Quantum Mechanics (Review) - Rob Spekkens

Lecture 1 - What's the problem? The realist strategy. The quantum measurement problem.

Lecture 2 - The operational strategy. The most general types of preparations. Density operators.

Lecture 3 - Operational quantum mechanics. The most general types of measurements. The most general types of transformations.

Lecture 4 - POVMs. Unambiguous state discrimination. Operational formulation of quantum theory. The church of the larger (smaller) Hilbert space.

Lecture 5 - A framework for convex operational theories. Operational classical theory. Operational quantum theory. Real vs complex field.

Lecture 6 - Recasting the "orthodox" interpretation as a realist model. Realism via hidden variables. Psi-ontic vs psi-epistemic models. The Bell-Mermin model. The Kochen-Specker model.

Lecture 7 - Evidence in favour of psi-epistemic hidden variable models. Restricted Liouville mechanics. Restricted statistical theory of bits.

Lecture 8 - Bell's theorem. Experimental loopholes. No-signalling.

Lecture 9 - Non-locality. Bell's definition of local causality. Applications of non-localtiy. Contextuality.

Lecture 10 - Contextuality in more depth. The traditional definiton of contextuality in quantum theory. Bell-Kochen-Specker theorem. Proofs of noncontextuality. An operational notion of contextuality.

Lecture 11 - Generalized notions of noncontextuality. Preparation noncontextuality. Operational test of preparation noncontextuality. Connection with nonlocality. Noncontextuality and negativity as notions of classicality.

Lecture 12 - The deBroglie-Bohm interpretation. The deBroglie-Bohm interpretation for a single particle. Empty waves and occupied waves. The deBroglie-Bohm interpretation for many particles. Effective collapse of the guiding wave.

Lecture 13 - The deBroglie-Bohm interpretation continued. The "standard distribution" as quantum equilibrium. Contextuality. Criticisms and responses.

Lecture 14 - Dynamical collapse theories. The Ghirardi-Rimini-Weber model. Constraints on parameters. Criticisms.

Lecture 15 - The Everett interpretation - "Many Worlds." Preferred basis problem. The problem with probabilities. Comparison to deBroglie-Bohm.

Quantum Gravity (Review) - Renate Loll

Lecture 1 - Introduction to the subject of quantum gravity.

Lecture 2 - Weak gravitational waves.

Lecture 3 - Quantization of gravitational waves.

Lecture 4 - Detectability of gravitational waves. Review of path integral in quantum mechanics.

Lecture 5 - Perturbative path integral for gravity. Graviton propagator.

Lecture 6 - Review of Hamiltonian mechanics. Dirac's conanonical quantization.

Lecture 7 - Constrained Hamiltonian systems.

Lecture 8 - Canonical Formulation of general relativity, ADM decomposotion. Dirac-Bergmann algorithm.

Lecture 9 - Dirac algebra. Quantizing constrained systems.

Lecture 10 - Dirac quantization for gravity. Wheeler-DeWitt equations.

Lecture 11 - The notion of loop quantum gravity.

Lecture 12 - Non-perturbative gravitational path integral.

Lecture 13 - Dynamical triangulations and quantum Regge calculus.

Lecture 14 - Path Integral in terms of dynamical triangulations. Monte-Carlo simulations for path integral.

Lecture 15 - Casual dynamical triangulations.

Gravitational Physics (Review) - Ruth Gregory

Lecture 1 - Manifolds and Tensors.

Lecture 2 - Differential Forms, Exterior and Lie Derivatives.

Lecture 3 - Connections and Curvature, Cartan's Equations of Structure.

Lecture 4 - Examples: Gravitational Wave Spacetime, Warped Compactification.

Lecture 5 - (A)dS Black Holes, Eucliean Method and Hawking Temperature.

Lecture 6 - Cosmic Strings and Domain Walls.

Lecture 7 - C-Metric, Multi Black Hole Solutions.

Lecture 8 - Einstein Hilbert Action, Brans-Dicke Theory.

Lecture 9 - Black Holes in Higher Dimensions, P-Branes.

Lecture 10 - Kaluza-Klein Theory, KK Black Holes.

Lecture 11 - Gausse-Codazzi Formalism.

Lecture 12 - Gibbons-Hawking Term, Black Hole's Entropy.

Lecture 13 - Israel's junction Conditions.

Lecture 14 - Gravitational Perturbation Theory, Counting Physical Degrees of Freedom.

Lecture 15 - Beyond Einstein: Large Extra Dimensions, Randall-Sundrum Model.

Cosmology (Review) -Latham Boyle

Lecture 1 - Review of General Relativity

Lecture 2 - Review of General Relativity continued, General Relativity and Yang-Mills Theory.

Lecture 3 - Einstein's equation and maximally symmetric solutions.

Lecture 4 - Maximally symmetric space-times; FRW.

Lecture 5 - Kinematics of FRW, conformal time, horizons.

Lecture 6 - The Horizon Problem, Dynamics of FRW.

Lecture 7 - The Flatness Problem. Thermodynamics, Statistical Mechanics, Particle Physics.

Lecture 8 - Big Bang Nucleosynthesis (BBN) and Cosmic Microwave Background (CMB) part 1.

Lecture 9 - Big Bang Nucleosynthesis (BBN) and Cosmic Microwave Background (CMB) part 2.

Lecture 10 - The Standard Model of Cosmology.

Lecture 11 - Dark Matter and Dark Energy.

Lecture 12 - Dark Matter and Dark Energy continued.

Lecture 13 - Baryogenesis.

Lecture 14 - Ifnlation

Lecture 15 - Ifnlation continued.

Quantum Information (Review) - Daniel Gottesman

Lecture 1 - Classical gates. Reversible classical gates. Quantum gates.

Lecture 2 - Universal gate sets. CP-maps. Purification.

Lecture 3 - Implementations. Ion trap implementation.

Lecture 4 - Comparison of implementations. Dynamical decoupling.

Lecture 5 - Computational complexity. Complexity classes.

Lecture 6 - Strong Church-Turing thesis. Complexity classes BQP and NP. Deutsch-Josza algorithm

Lecture 7 - Factoring. RSA. Shor's algorithm.

Lecture 8 - Shor's algorithm. Quantum Fourier transform.

Lecture 9 - Grover's algorithm.

name=Daniel_Gottesman Lecture 10 - Distance measures. Entropy.

Lecture 11 - Compression. Mixed state entanglement.

Lecture 12 - Quantum error-correcting codes.

Lecture 13 -Stabilizer codes. Fault-tolerance

Lecture 14 - Quantum key distribution

String Theory (Review) - Freddy Cachazo

Lecture 1 - Why String Theory? Historical Introduction

Lecture 2 - Massless Fields in Curved Spacetime, Point Particle and Polyakov Actions

Lecture 3 - Relativistic Strings: Equations of Motion, Constraints, Boundary Conditions.=

Lecture 4 - Closed Strings: Mode Expansion and Quantization

Lecture 5 -Quantizing Open Strings: String Spectrum, Critical Dimension

Lecture 6 -String Theory as a Theory of Quantum Gravity

Lecture 7 -String Theory as a Theory of Quantum Gravity

Lecture 8 - by Lilia Anguelova - 11D SUGRA

Lecture 9 - by Lilia Anguelova - IIA String Theory from Dimensional Reduction of 11D SUGRA

name=Freddy_Cachazo Lecture 10 - RNS Formalism

Lecture 11 - Superstrings: Spacetime Fermions, Critical Dimensions

Lecture 12 - Type IIA and IIB Superstring Theories

Lecture 13 - D-branes, T-duality, U(N) Gauge Group from Superstrings

Lecture 14 -M-Theory and 5 String Theories

Beyond the Standard Model (Review) - Veronica Sanz

Lecture 1 - Intro to BSM. Evidence BSM: a)Dark Matter. Direct and indirect detection.

Lecture 2 - b) Baryogensis. Sakharov conditions. c) Neutrino masses.

Lecture 3 - Theoretical rationale for BSM. Technical naturalness. Gauge hierarchy problem.

Lecture 4 -Explicit symmetry breaking and spontaneously broken symmetry. Other hierarchies in the Standard Model.

Lecture 5 - Direct and Indirect constraints on BSM. The Peskin-Takeuchi S, T, U parameters. Flavour bounds. Forward-backward asymmetry.

Lecture 6 -Supersymmetry. Coleman-Mandula no-go theorem. The Haag-Lopuszanski-Sohnius theorem. Chiral supermultiplet and the Wess-Zumino model

Lecture 7 - Supersymmetric interactions. MSSM. Quadratic divergence in higgs mass. Cancellation of quadratic divergences from supersymmetric vertices.

Lecture 8 - Soft SUSY breaking terms. The mu-problem. SUSY particle spectrum.

Lecture 9 - Mass spectrum of MSSM. Dark matter candidate and gauge unification.

Lecture 10 - SUSY breaking. Spontaneous SUSY breaking. Sum rule. SUSY breaking mediated by gravity, gauge sector and gauginos.

Lecture 11 - Extra dimensions as a way of stabilizing the electroweak scale.

Lecture 12 - Large extra dimensions continued. KK mechanism. ADD mechanism.

Lecture 13 - Warped extra dimensios. The Randall-Sundrum scenario.

Lecture 14 - Higgs searches at the LHC. SUSY searches at the LHC.

Exploration

Explorations in Quantum Information - David Cory

Lecture 1 - Neutron interferometry. Ideal case.

Lecture 2 - Imperfections. Superoperators, CP maps.

Lecture 3 - Bloch equations. Noise: composite pulse sequence; magnetic fields in neutron interferometry.

Lecture 4 -Imperfections. Wedge in one path. Imperfect blades.

Lecture 5 - Imperfections. Velocity impared to / from blade.

Lecture 6 -Spin degree of freedom in NI

Lecture 7 - NV centres in diamond. Physical system. Initialization and measurement.

Lecture 8 - Spin exchange interaction

Lecture 9 - The rotating-wave approximation. Entanglement between NV centres.

Lecture 10 - Hamiltonians and control of electron-nucker spin system.

Lecture 11 -

Lecture 12 - Superconducting rings. Josephson junction.

Lecture 13 - Finite difference method. Eigenstructure of tilted potential for JJ circuit.

Lecture 14 - Adding a parabolic potential to the JJ circuit. Mapping a Qubit. Hamiltonians and control of system.

Lecture 15 - DiVincenzo criteria for superconducting qubit. 2-qubit circuit and control

Explorations in Cosmology - Matthew Johnson,Louis Leblond

Lecture 1 - Review of the standard model of cosmology

Lecture 2 - QFT om curved space

Lecture 3 - Unruh effect

Lecture 4 -Unruh effect and particle production. de Sitter space.

Lecture 5 - Scalar field fluctuations in de Sitter space. Inflationary models.

Lecture 6 - Inflation: the homogeneous limit.

Lecture 7 - Example:Chaotic inflation. Density perturbations produced during slow-roll inflation.

Lecture 8 - Spectral index. Observational constraints on chaotic inflation. Gauges for scalar perturbations. Sachs-Wolfe effect.

Lecture 9 - Connecting the primordial power spectra to CMB observables. Stochastic eternal inflation.

Lecture 10 - Stochastic eternal inflation and the Fokker-Planck equation. Introduction to vacuum decay in QFT.

Lecture 11 - Vacuum decay in CM.

Lecture 12 - Vacuum decay in QFT.

Lecture 13 - Vacuum decay with gravity. False vacuum eternal inflation.

Lecture 14 - False vacuum eternal inflation. Quantum cosmology and wave function of the universe.

Lecture 15 - Challenges for inflation. Alternatives to inflation.

Explorations in String Theory - Pedro Vieira

Lecture 1 - Introduction to the duality between string theory and large N gauge dualities

Lecture 2 - Large N theories are simpler

Lecture 3 - The decoupling argument and the AdS/CFT conjecture

Lecture 4 - More arguments pointing towards AdS/CFT

Lecture 5 - N=4 SYM; Wilson loops

Lecture 6 - The quark-antiquark potential, Wilson loops in QED and in non-abelian gauge theories

Lecture 7 - Minimal surfaces in AdS

Lecture 8 - Supersymmetric Wilson loops, rainbow diagrams; Recent developments: Localization, Integrability, Null Polygon Wilson Loops

Lecture 9 - Conformal Field Theory: 2, 3 4-pt functions, the Operator Product Expansion, the Conformal Bootstrap

Lecture 10 - AdS geometry; Pointlike string solution in AdS5xS5

Lecture 11 - Circular rigid sting solution; Computation of anomalous dimensions in N=4 SYM

Lecture 12 - N=4 SYM and Heisenberg Spin Chains

Lecture 13 - Spin Chains: single and N-magnon excitations, Bethe ansatz

Lecture 14 - Bethe ansatz, the circular string and the single cut solutions

Lecture 15 -Higher loop corrections, thermodynamic Bethe ansatz

Explorations in Quantum Gravity - Carlo Rovelli

Lecture 1 - Quanta of space.

Lecture 2 - What is quantum gravity

Lecture 3 - Hamilton's function, Physics without time

Lecture 4 - Quantum physics without time

Lecture 5 - Classical GR in tetrad formalism

Lecture 6 - Euclidean 3D gravity

Lecture 7 - Math of SU(2)

Lecture 8 - Ponzanno-Regge transition amplitude

Lecture 9 - Towards real quantum world

Lecture 10 - by Eugenio Bianchi - Spectrum of the volume operator

Lecture 11 - by Eugenio Bianchi - Coherent states, Unitary representations of SL(2,C)

Lecture 12 - Quantum dynamics in 4D

Lecture 13 - Properties of the full theory

Lecture 14 - Physical applications and future directions

Explorations in Particle Theory - David Morrissey

Lecture 1 - Evidence for dark matter (DM). DM properties. Outline of course.

Lecture 2 - Dark matter and structure.

Lecture 3 - DM production. Thermodynamic equilibrium. The Boltzmann equation.

Lecture 4 - Freeze out. Solving the Boltzman equation. The WIMP miracle.

Lecture 5 - LSP as WIMP.

Lecture 6 - Models of Non-thermal DM.

Lecture 7 - Direct detection of DM.

Lecture 8 - Direct detection continued. Spin independent and spin

Lecture 9 - Spin independent experimental searches: XENON100, CDMS, DAMA, CoGeNT, CRESST

Lecture 10 - Indirect detection of DM

Lecture 11 - Indirect detection continued.

Lecture 12 - Indirect detection: photon signal; DM in stars

Lecture 13 - DM signals at colliders. Axions

Lecture 14 - Axions and the Strong CP problem. Axion cosmology.

Explorations in Numerical Relativity - Luis Lehner, Frans Pretorius

Lecture 1 - Finite difference technique.

Lecture 2 - Solutions of the wave equation using Crack-Nicholson algorithm; error evaluation and the problem of stability

Lecture 3 - Arnowitt-Deser-Misner decomposition

Lecture 4 - Gauss-Codazzi equations; 3+1 Approach to the Einstein Equations

Lecture 5 - Hyperbolic equations; linearly degenerate vs truly nonlinear equations. Burgers equation; Riemann problem

Lecture 6 - Roe Solver for Burgers equation. Genereal relativity and hydridynamics; primitive and conserved variables

Lecture 7 - Magneto-hydrodynamics in general relativity

Lecture 8 - Magneto-hydrodynamics in general relativity (numerical implementation)

Lecture 9 - Evolution in Maxwell equations

Lecture 10 - Gravitational waves overview (nature in GR plus sources)

Lecture 11 - Einstein's equation with generalized harmonic gauge conditions

Lecture 12 - Gravitational waves

Lecture 13 - BSSN/Generalized harmonic evolution

Lecture 14 -Adaptive mesh refinement/parallel computation

Explorations in Condensed Matter - Dmitry Abanin

Lecture 1 - What is mesoscopics? Examples of mesoscopic systems

Lecture 2 - Localization of electrons by disorder; week and strong localization; the concept of dephasing

Lecture 3 - Scattering matrix approach to quantum transport; Landauer mechanism and localization

Lecture 4 - Physical realization of !D transort; Band structure of graphene; Berry phases

Lecture 5 - Integer Quantum Hall Effect (IQHE)

Lecture 6 - Semiclassical percolation picture of Quantum Hall transition; Laughlin approach to transverse conductivity

Lecture 7 - Hall conductivity and Berry phases; Hall conductivity as a topological invariant

Lecture 8 - Part 1 Part 2 -Quantum Hall effect in graphene. Interacting electrons in magnetic field

Lecture 9 - Fractional Quantum Hall effect and wave functions

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