PSI Lectures/2012

2011 <<<     >>> 2013

Welcome PSI 2012/13

 * Part 1,
 * Part 2

Algebra - Anna Kostouki

 * Lecture 1 - Linear Algebra: Vector spaces, basis, scalar product, linear operators, matrix representations


 * Lecture 2 - Group theory: Finite groups (cyclic and permutation groups), rotational groups


 * Lecture 3 - Group Theory contd: O(3) and SO(3), U(n) and SU(n), Lorentz and Poincare groups


 * Lecture 4 - Tangent and cotangent space, vectors and tensors, Clifford algebras, Grassman algebras.

Student Presentations

 * Part 1


 * Part 2


 * Part 3


 * Part 4

Special Functions and Differential Equations - Dan Wohns

 * Lecture 1 - Distributions: test functions, Dirac delta function, Derivatives of distributions, Multiplication of distributions by functions


 * Lecture 2 - Solution Methods: Reduction of order, Variation of parameters, Power series method, WKB approximation


 * Lecture 3 - Orthogonal Functions - Sturm-Liouville theory, Parseval's theorem, Orthogonal polynomials


 * Lecture 4 - Special Functions and Complex Variables: Gamma function, Stirling's approxximation, Saddle point method, Zeta function

Calculus of Variation and Gaussian Integrals - Lilia Anguelova

 * Lecture 1 - Gaussian integrals in one dimension; Multi-dimensional Gaussian integrals; Averages with Gaussian weight


 * Lecture 2 - Wick's theorem; Imaginary Gaussian integrals; Gaussian integrals with Grassmann variables


 * Lecture 3 - Functionals; Functional derivatives, Euler-Lagrange equations; Lagrangian Mechanics


 * Lecture 4 - Noether's theorem; Euler-Lagrange equations for continuous systems; Energy-momentum tensor; Constrained variations

Integral transforms Green's Functions - David Kubiznak

 * Lecture 1 - Green's functions, BVP, Poisson's equation, Green's identities, Method of images


 * Lecture 2 - Fourier transform, diffusion equation, heat kernel, FT in quantum mechanics


 * Lecture 3 - Maxwell's equation, Wave equation, Retarded Potentials, Feynman-Wheeler theory


 * Lecture 4 - Functional integral, Propagator, Degrees of freedom in gauge theories

Condensed Matter 101 - Denis Dalidovich

 * Lecture 1 - Basic models of condensed matter; thermodynamics of free electron gas


 * Lecture 2 - Second quantisation; thermodynamics of free boson gas


 * Lecture 3 - Crystal lattices and Bloch's theorem


 * Lecture 4 - Motion in a periodic potential; tightly bound electrons

Mathematica - Pedro Vieira

 * Lecture 1 - Part1 Part2


 * Lecture 2 - Part1 Part2


 * Lecture 3 - Part1 Part2

Ising Model - John Berlinsky

 * Lecture 1

Relativity - Michael Duff

 * Lecture 1 - Motivation: Special relativity vs Newtonian Gravity


 * Lecture 2 - Equivalence Principle, Coordinate Transformations


 * Lecture 3 - General Covariance, Geodesic Equation, Tensors


 * Lecture 4 - Tensor Algebra, Tensor Densities, Covariant Derivative


 * Lecture 5 - Curvature Tensor and its Properties, Conditions for Flatness


 * Lecture 6 - Geodesic Deviation, Einstein's Equations


 * Lecture 7 - Solutions of Einstein's Equations: Schwarzschild Metric


 * Lecture 8 - Charged Black Hole (Reissner-Nordstrom solution); Rotating Black Hole (Kerr Solution)


 * Lecture 9 - Experimental Tests of GR: Precession of Perihelion, Deflection of Light


 * Lecture 10 - Experimental Tests of GR: Precession of Perihelion, Deflection of Light


 * Lecture 11 - Lagrangian Formulation, Einstein-Hilbert action


 * Lecture 12 - Coupling Gravity to Matter: Scalar Field, Maxwell Field


 * Lecture 13 - Brans-Dicke Theory, Vierbein Formalism


 * Lecture 14 - Kaluza-Klein Theory, Supergravity


 * Lecture 15 - Cosmology: Friedmann-Robertson-Walker Metric

Quantum Theory - Joseph Emerson

 * Lecture 1 - Motivations and axioms of quantum theory.


 * Lecture 2 - Axioms continued. Density matrix. The Schroedinger and the Heisenberg Pictures.


 * Lecture 3 - The Von Neumann Equation. Composite and Entangled Systems.


 * Lecture 4 - Subsystems and Partial Trace. Schmidt Decomposition. Von Neumann Entropy.


 * Lecture 5 - Partial criteria for Entanglement. Positive Partial Transpose (PPT). Sequential Measurement and Collapse. Von Neumann model of a measurement.


 * Lecture 6 - Abstract model of von Neumann measurement. Decoherence.


 * Lecture 7 - Interpretational controversy surrounding the collapse of the wave function. EPR Paradox.


 * Lecture 8 - Dirac's abstract formulation of quantum and classical mechanics in terms of the Poisson braket and the commutator.


 * Lecture 9 - Bell's inequalities. CHSH inequality. Hidden variables.


 * Lecture 10 - Final comments relating to Bell's theorem. Infinite dimensional Hilbert Spaces. Self-adjoint operators on infinitte dimensional Hilbert Spaces.


 * Lecture 11 - Infinite dimensions continued. Markov processes and classical path integrals. The Feynman path integral.


 * Lecture 12 - The Feynman path-integral continued. Open quantum systems. Kraus operators.


 * Lecture 13 - The optical Bloch equations. NMR and the Bloch equations.


 * Lecture 14 - The Rotating Wave Approximation. Continuos Models of Markovian Open Systems and Dynamics [The Lindblad Formalism].


 * Lecture 15 - Concepts and Examples from Quantum Information. Quantum Circuts. factoring. Quantum Teleportation.

Quantum Field Theory I - Konstantin Zarembo

 * Lecture 1 - Particles and Second Quantization, Bose Condensation


 * Lecture 2 -Part 1 Part 2 - Phonons, Debye Theory


 * Lecture 3 - Part 1 Part 2 - Klein-Gordon field, Conservation Laws, Noether's Theorem


 * Lecture 4 -Part 1Part 2 - Quantization of Klein-Gordon field, Heisenberg Representation, Dirac's Equation


 * Lecture 5 -Part 1 Part 2 - Spinors and Spin, Dirac Conjugation


 * Lecture 6 - Part 1 Part 2 - Dirac Lagrangian, Solutions of Dirac Equation, Quantization, Weyl Fermions, Helicity


 * Lecture 7 - Part 1 Part 2 - Electromagnetic Field: Gauge Symmetry, EM Waves, Quantization


 * Lecture 8 - Part 1 Part 2 - Quantum Electrodynamics, Dimensional Analysis and Perturbation Theory


 * Lecture 9 - Part 1 Part 2 - Idea of Renormalization, Green's Functions, Wick's Theorem


 * Lecture 10 -Part 1 Part 2 - Feynman Propagator, Feynman Diagrams


 * Lecture 11 - Part 1 Part 2 - Scattering Amplitudes, Perturbation Theory in QED


 * Lecture 12 - Part 1 Part 2 - Scattering of Electrons, Coulomb Law from QED, Yukawa Interactions


 * Lecture 13 -Part 1 Part 2 - Cross Sections and Decay Rates


 * Lecture 14 -Part 1 Part 2 - Examples of QED Calculation, QFT: Summary Future Directions

Condensed Matter - Assa Auerbach

 * Lecture 1 - From Hubbard Model to Heisenberg Model: Superexchange


 * Lecture 2 - From Hubbard Model to Heisenberg Model: Brillouin-Wigner renormalization


 * Lecture 3 - Coherent states for spins


 * Lecture 4 - Spin coherent state path integral


 * Lecture 5 - Spin wave theory from spin coherent path integral


 * Lecture 6 - Field theory for quantum antiferromagnets; non-linear sigma-model


 * Lecture 7 - Spontaneously broken symmetry


 * Lecture 8 - Negative U Hubbard Model; particle-hole canonical transformation


 * Lecture 9 - x-xz model; superconducting charge density wave and supersolid phases


 * Lecture 10 - Field operators and boson coherent states


 * Lecture 11 - Persistent currents and flux quantization


 * Lecture 12 - Meissner effect, statics of vortices, Magnus force


 * Lecture 13 - Motion of vortices; vortex lattice

Quantum Field Theory II - Francois David

 * Lecture 1 - Euclidean time, Path Integrals, Relation between Euclidean field theory and statistical mechanics


 * Lecture 2 - Operators and correlation functions in the path integral formalism, quantization of the free scalar field using functional integrals


 * Lecture 3 - Free scalar field: Functional integration using spacetime discretization, Correlation functions


 * Lecture 4 - Free scalar field propagator, Quantization of φ4 theory


 * Lecture 5 - Structure of perturbative expansion, Effective action


 * Lecture 6 - Effective action continued


 * Lecture 7 - Kallen-Lehman spectral representation, Mass renormalization of φ4 theory


 * Lecture 8 - Coupling constant renormalization of massless φ4 theory


 * Lecture 9 - Renormalization group


 * Lecture 10 - Grassman variables, Berezin calculus, Fermionic Path integrals


 * Lecture 11 - Non-abelian gauge theory


 * Lecture 12 - Yang-Mills action, Coupling to matter, Feynman rules


 * Lecture 13 - Gauge fixing


 * Lecture 14 - Faddeev-Popov determinant, ghosts, Feynman rules, Yang-Mills beta function


 * Lecture 15 - Wilsonian renormalization, Renormalization of non-abelian gauge theory

Statistical Mechanics - John Berlinsky

 * Lecture 0 - Ising Model


 * Lecture 1 - Introduction to phase transitions, Spatial Correlation Functions


 * Lecture 2 - Correlations and susceptibility, Critical exponents, Mean Field Theory  Landau theory


 * Lecture 3 - Vector order parameters, Spatially varying fields


 * Lecture 4 - Spin-spin correlation function in MFT, Scaling  Power laws


 * Lecture 5 - Two-parameter scaling, relations among critical exponents, Kadanoff length scaling


 * Lecture 6 - Ginzburg criterion, Gaussian model


 * Lecture 7 - Gaussian model: partition function, free energy, internal energy, specific heat, critical region


 * Lecture 8 - The renormalization group idea&#x3E; Block spin renormalization for the 1-d Ising Model


 * Lecture 9 - Block spin renormalization in d&#x3E;1


 * Lecture 10 - General RG theory; flows in the space of many couplings, scaling variables


 * Lecture 11 - The ε expansion; the Gaussian model and the  uσ4 model


 * Lecture 12 - RG flow for model  uσ4 continued; Wilson-Fisher fixed point


 * Lecture 13 - Exponents from the ε expansion; corrections to scaling

Standard Model - Mark Wise

 * Lecture 1 - Phase spaces for decay widths and cross-sections


 * Lecture 2 - Differential cross-sections and invariant amplitude: e^-e^+ to mu^- mu^+. The standard model gauge group. The Higgs doublet


 * Lecture 3 - Spontaneous symmetry breaking and massive gauge bosons


 * Lecture 4 - The particle content of the standard model. Yukawa couplings. The CKM matrix.


 * Lecture 5 - Interactions of gauge bosons with fermions. Interactions of the Higgs boson with fermions. Muon decay.


 * Lecture 6 - Muon decay continued. Renormalization of QED. Dimensional reguralization.


 * Lecture 7 - Computation of counterterms in QED


 * Lecture 8 - Beta function for the electromagnetic coupling constant. Renormalization of QCD. Asymptotic freedom.


 * Lecture 9 - Applications of asymptotic freedom. Charmonium and bottomonium.


 * Lecture 10 - Structure functions. Proton + proton to Z + X.


 * Lecture 11 - Higgs decay into gluons.


 * Lecture 12 - Renormalization of bottom mass. Chiral Lagrangian.


 * Lecture 13 - Chiral perturbation theory. Light meson masses.


 * Lecture 14 - Decay of pi minus. Application of chiral perturbation theory: The atmospheric neutrino problem. Discrete symmetries.


 * Lecture 15 - Discrete symmetries continued. The PSI song. CP violation in the Standard Model. The CKM matrix and the unitarity triangle.

String Theory - Barton Zwiebach

 * Lecture 1 - Review of Ralativity, Light cone coordinates, Compactification


 * Lecture 2 - Orbifolds, Nonrelativistic sting, Relativistic point particle


 * Lecture 3 - Relativistic strings, Nambu-Goto action


 * Lecture 4 - Boundary conditions: D-branes, Static gauge, String in rest, Transverse velocity


 * Lecture 5 - String parametrization, equations of classical motion and constraints


 * Lecture 6 - Symmetries and conserved momentum and Lorentz charges. general gauges.


 * Lecture 7 - Equations of motion for free open strings, light-cone solutions, Virasoro operators.


 * Lecture 8 - Light cone fields, Point particle quantization


 * Lecture 9 - Quantization of point particle in light cone gauge, Momentum and Lorentz generators


 * Lecture 10 - Quantization of an open string I


 * Lecture 11 - Quantization of an open string II: critical dimension, tachyon, Maxwell field


 * Lecture 12 - Quantization of a closed string; Virasoro operators, graviton, dilaton


 * Lecture 13 - Strings on R^1/Z_2 orbifold. Action for fermionic strings.


 * Lecture 14 - Quantizing superstrings: NS and R sectors, Spacetime fermions.


 * Lecture 15 - Overview of superstring theories, D-branes

Foundations of Quantum Mechanics - Rob Spekkens

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


 * Lecture 2 - The operational strategy. Operationalism vs realism.


 * Lecture 3 - The most general preparations. The most general measurements.


 * Lecture 4 - The most general types of transformations.


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


 * Lecture 6 - Recasting the òrthodox`interpretation as a realist model. Realism via hidden variables. Psi-ontic vs psi-epistemic models


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


 * Lecture 8 - Bell's theorem.


 * Lecture 9 - Non-locality in more depth.


 * Lecture 10 - Contextuality


 * Lecture 11 - Generalized notions of non-contextuality.


 * Lecture 12 - The deBroglie-Bohm interpretation.


 * Lecture 13 - The deBroglie-Bohm interpretation continued.


 * Lecture 14 - Dynamical Collapse theories.


 * Lecture 15 - The Everett interpretation.

Gravitational Physics - Ruth Gregory

 * Lecture 1 - Manifolds and Tensors


 * Lecture 2 - Differential Forms, Exterior and Lie Derivatives


 * Lecture 3 - Lie Derivative contd, Killing vectors, Connections and Curvature, Cartan's Equations of Structure


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


 * Lecture 5 - The physics of curvature: accelerations vs gravity, geodesics in Schwarzschild


 * Lecture 6 - Derivation of Black Hole solutions: Schwarzchild, (A)dS Black Holes, Euclidean Black Holes and Hawking Temperature


 * Lecture 7 - Lagrangians, Einstein-Hilbert Action, Energy-Momentum Tensors, Energy Conditions


 * Lecture 8 - Domain wall solution, Cosmic string solutions


 * Lecture 9 - Jordan-Brans-Dicke modified gravity, Jordan  Einstein frames


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


 * Lecture 11 - Gauss-Codazzi formalism, Geometry of submanifolds


 * Lecture 12 - Applications of Gauss-Codazzi, Gibbons-Hawking term, Israel equations


 * Lecture 13 - Penrose Diagrams, Properties of BHs


 * Lecture 14 - Cosmic Censorship, (In)Stability of Black Holes


 * Lecture 15 - Gravity and String Theory, D-Branes, properties of AdS

Quantum Gravity - Bianca Dittrich

 * Lecture 1 - Einstein-Hilbert action, Einstein's theory in 3D


 * Lecture 2 - Tetrad formalism: vielbeins, spin correction, torsion and cur


 * Lecture 3 - First-order formalism, Symmetries of 3D gravity action


 * Lecture 4 - Hamiltonian analysis, Canonical variables for gravity, Totally constraint system


 * Lecture 5 - Constraints, Gauge transformations and constraint algebra


 * Lecture 6 - Phase space of systems wuth gauge symmetry, Dirac observables, Parametrized particle


 * Lecture 7 - Quantization of parametrized particle I


 * Lecture 8 - Quantization of parametrized particle II


 * Lecture 9 - SO(3), SU(2), and Holonomy


 * Lecture 10 - Holomonies, Fluxes and their Poisson algebra


 * Lecture 11 - Outline of Quantization, SU(2) gymnastics


 * Lecture 12 - Hilbert Space for One Edge, Action of Fluxes, Lenght Quantized


 * Lecture 13 - Solving the Gauss Constraint, Intertwiner

Condensed Matter - Dmitry Abanin, Alioscia Hamma

 * Lecture 1 - The notion of a quantum phase transition: ground state energy, phase diagram. Quantum Ising Model in 1D, duality


 * Lecture 2 - Universality in critical phenomena and scaling


 * Lecture 3 - Quantum to classical mapping.


 * Lecture 4 - Exact spectrum of transverse Ising model and correlation functions.


 * Lecture 5 - Quantum Information approach to Quantum Phase Transitions


 * Lecture 6 - Quantum-coherent transport in 1D systems; point contacts; scattering matrix


 * Lecture 7 - Electrons in disordered potential: Landauer formalism and perturbation theory


 * Lecture 8 - Localization phenomena; scaling approach to localization


 * Lecture 9 - Graphene: band structure, Dirac-like low energy excitations


 * Lecture 10 - Graphene: conductivity and the role of disorder


 * Lecture 11 - Berry phases, Berry's curvature, examples.


 * Lecture 12 - Integer Quantum Hall effect; edge states and the role of disorder


 * Lecture 13 - Quantum Hall effect: bulk and transition. Percollation and flux insertion approaches


 * Lecture 14 - Topological invariance and Hall conductivity

Beyond the Standard Model - Itay Yavin, Natalia Toro

 * Lecture 1 - Lagrangian for complex scalar + Weyl fermion, Feynman rules


 * Lecture 2 - 1-loop correction of fermion and scalar propagators, Hard cut-off regularization, Lo


 * Lecture 3 - Dimensional regularization, Hierarchy problem


 * Lecture 4 - Technical naturalness, Canceling the quadratic divergence using supersymmetry


 * Lecture 5 - Supersymmetric gauge theory, Chiral supermultiplets, Vector supermultiplets


 * Lecture 6 - Supersymmetry transformations, Production of charginos


 * Lecture 7 - Dimensional analysis, Cross sections, Calculatin Feynman diagrams using Mathematica or MadGraph


 * Lecture 8 - Effective field theories in the Standard Model, Chiral Lagrangian, Fermi theory


 * Lecture 9 - Effective field theories as probes of new physics


 * Lecture 10 - The role of exact and approximate symmetries in new physics seachers. Approximate symmetries of the SM


 * Lecture 11 - Approximate symmetries of the SM continued. Parameter counting. CKM matrix.


 * Lecture 12 - GIM mechanism, Kaon oscillations in the Standard Model, Kaon oscillations with supersymmetry, soft supersymmetry breaking


 * Lecture 13 - Strong CP problem


 * Lecture 14 - Axions and the strong CP problem.

Quantum Information - Andrew Childs

 * Lecture 1 - Qubits, unitary operators, superdense coding.


 * Lecture 2 - Circuit models, reversible computation, universal gate sets.


 * Lecture 3 - Implementations (non-linear optics).


 * Lecture 4 - Computational complexity.


 * Lecture 5 - Computational complexity continued. Basic quantum algorithms: Deutsch-Jozsa.


 * Lecture 6 - Phase estimation, quantum Fourier transform.


 * Lecture 7 - RSA, Shor's algorithm.


 * Lecture 8 - Grover's algorithm.


 * Lecture 9 - Density matrices, quantum operations, POVMs.


 * Lecture 10 - Distance measures, Helstrom measurement


 * Lecture 11 - Entropy, entanglement concentration, compression


 * Lecture 12 - Quantum data compression continued. Quantum error correction.


 * Lecture 13 - Stabilizer codes.

Cosmology - Latham Boyle

 * Lecture 1 - Review of Differential Geometry: Manifolds  Tensors, the Connection, the Metric


 * Lecture 2 - Review of GR: Einstein equations, the Energy-momentum tensor


 * Lecture 3 - GR vs. Yang-Mills theory; Maximally symmetric space-times


 * Lecture 5 - The FRW mwtric, Friedman equation, Continuity equation


 * Lecture 6 - Kinematics of FRW: geodesics, horizons; The horizon problem


 * Lecture 7 - The flatness problem; Matter, rediation and dark energy; the history of the Universe


 * Lecture 8 - Thermodynamics  Statistical Mechanics in the Universe; Decoupling and Freeze-out


 * Lecture 9 - BBN  CMB


 * Lecture 10 -Dark Matter: observational evidence  candidates


 * Lecture 11 - Cold  Hot DM, non-thermal relics; Baryogenesis


 * Lecture 12 - The 3 Big Bang problems; Inflation


 * Lecture 13 - Inflation  Perturbations


 * Lecture 14 - QFT in curved space: Bogoliubov transformations, Unruh temperature

Quantum Information - David Cory

 * Lecture 1 - Neutron interferometry, pure state case.


 * Lecture 2 - Uses of neutron interferometry, mixed state case.


 * Lecture 3 - Incoherent processes in NI - magnetic field in one path.


 * Lecture 4 - Incoherent processes in NI - wedge in one path.


 * Lecture 5 - Spin in NI.


 * Lecture 6 - NMR.


 * Lecture 7 - NMR. Rotating wave approximation.


 * Lecture 8 - NMR. Bloch equations. Characterizing a qubit. Hahn echo.


 * Lecture 9 - NMR. Echo with diffusion.


 * Lecture 10 - NMR, two-qubit operations.

Particle Theory - David Morrissey

 * Lecture 1 - Evidence for Dark Matter


 * Lecture 2 - Dark Matter distributions. Thermal DM creation


 * Lecture 3 - Thermal creation of DM. The Boltzmann equation.


 * Lecture 4 - DM freeze out. Justification of kinetic equilibrium. Solving the Boltzman equation. S-wave and p-wave. Yield.


 * Lecture 5 - Computing yield from the Boltzmann equation. The WIMP miracle. Candidates for WIMPs: Supersymmetry


 * Lecture 6 - WIMPs continued. SUSY and R parity. Universal extra dimensions (UED). Resonant enhancement. Coannihilation.


 * Lecture 7 - Coannihilation continued. Non-thermal DM. Gravitino as a DM candidate. Limitation of gravitino as a thermal DM candidate. SuperWIMP DM.


 * Lecture 8 - Non-thermal DM: Massive particles decay. Asymmetric DM. Direct detection of DM. Kinematics of direct detection.


 * Lecture 9 - Direct detection of DM. Scalar-Scalar interaction.


 * Lecture 10 - Direct detection continued. Vector-vector and axial vector-axial vector interactions. Experimental searched for DM.

Condensed Matter - Guifre Vidal, Xiao-Gang Wen

 * Lecture 1 - Quantum systems; entanglement in bipartite systems; measures of entanglement


 * Lecture 2 - Scaling of correlations and entanglement. Valence bond solids.


 * Lecture 3 - Free fermions and computation of entropy for free fermions


 * Lecture 4 - Ground states of quadratic Hamiltonians


 * Lecture 5 - Entanglement and Universality


 * Lecture 6 - Tensor network states; diagrammatic notation, propertiesm computational cost


 * Lecture 7 - Matrix product states


 * Lecture 8 - Transfer matrix and calculation of observables in MPS formalism


 * Lecture 9 - Multi-scale entanglement renormalization ansatz (MERA)


 * Lecture 10 - Projected entangled-pair states (PEPS)


 * Lecture 11 - Quantum phases and symmetry breaking in many-body physics


 * Lecture 12 - Fractional quantum Hall states and dancing picture of topological order


 * Lecture 13 - String liquid: dancing rules and topological degeneracy of the ground state


 * Lecture 14 - Definition of topological order; topological and local particle-like excitations


 * Lecture 15 - Fractional statistics of topological quasiparticles

Cosmology - Matt Johnson

 * Lecture 1 - Homogeneous universe, Penrose diagrams


 * Lecture 2 - Angular diameter distance, perturbed universe, gauge invariant perturbation theory


 * Lecture 3 - Perturbed perfect fluid, Boltzmann equations


 * Lecture 4 - First-order Boltzmann equation, collision terms


 * Lecture 5 - Large scale inhomogeneities during radiation domination, physical versus comoving scales


 * Lecture 6 - Baryon acoustic oscillations, damping, Sachs-Wolfe effect


 * Lecture 7 - Power spectrum, acoustic oscillations


 * Lecture 8 - Cosmic variance, Sachs-Wolfe pateau, comparing theory to Planck results


 * Lecture 9 - Homogeneous limit of inflation


 * Lecture 10 - QFT in curved spacetime


 * Lecture 11 - QFT in curved spacetime: particle production


 * Lecture 12 - Correlation functions, Schroedinger picture for QFT, Bunch-Davies Vacuum


 * Lecture 13 - Scalar fluctuations in an inflating background


 * Lecture 14 - Primordial scalar power spectrum


 * Lecture 15 - Comparing inflactionary models with Planck data, eternal inflation

String Theory - Pedro Vieira

 * Lecture 1 - Introduction to CFT's: Motivation


 * Lecture 2 - Definition of CFT's, Conformal transformations


 * Lecture 3 - 2-point and 3-point correlation functions, CFT data


 * Lecture 4 - State-operator correspondence, primaries  descendants, unitary bounds, AdS space


 * Lecture 5 - Operator Product Expansion, Conformal blocks


 * Lecture 6 - Recent Advances in CFTs: Bootstrap Equations


 * Lecture 7 - Matrix Model and Large N Limit


 * Lecture 8 - Open-Closed String Duality, Maldacena's Decoupling Argument


 * Lecture 9 - Maldacena's Decoupling Argument Part2: AdS/CFT Correspondence


 * Lecture 10 - Geometry of ADS


 * Lecture 11 - N=4 SYM, Anomalous Dimensions


 * Lecture 12 - Calculation of Anomalous Dimensions with Spin Chain Techniques


 * Lecture 13 - Calculation of Anomalous Dimensions on the String Theory Side (Strong Coupling): the BMN and Folded String Solutions


 * Lecture 14 - Spin Chains and Integrability; Bethe Equations


 * Lecture 15 - Bootstrap Program: Integrable Model with O(4), Cusp Anomalous at All Couplings