String theory methods for condensed matter physics

Preface
 Acknowledgments
 Introduction
 Part I. Condensed Matter Models and Problems: 1. Lightning review of statistical mechanics, thermodynamics, phases and phase transitions
 2. Magnetism in solids
 3. Electrons in solids: Fermi gas vs. Fermi liquid
 4. Bosonic quasi-particles: phonons and plasmons
 5. Spin-charge separation in 1+1 dimensional solids: spinons and holons
 6. The Ising model and the Heisenberg spin chain
 7. Spin chains and integrable systems
 8. The thermodynamic Bethe ansatz
 9. Conformal field theories and quantum phase transitions
 10. Classical vs. quantum Hall effect
 11. Superconductivity: Landau-Ginzburg, London and BCS
 12. Topology and statistics: Berry and Chern-Simons, anyons and nonabelions
 13. Insulators
 14. The Kondo effect and the Kondo problem
 15. Hydrodynamics and transport properties: from Boltzmann to Navier-Stokes
 Part II. Elements of General Relativity and String Theory: 16. The Einstein equation and the Schwarzschild solution
 17. The Reissner-Nordstrom and Kerr-Newman solutions and thermodynamic properties of black holes
 18. Extra dimensions and Kaluza-Klein
 19. Electromagnetism and gravity in various dimensions. Consistent truncations
 20. Gravity plus matter: black holes and p-branes in various dimensions
 21. Weak/strong coupling dualities in 1+1, 2+1, 3+1 and d+1 dimensions
 22. The relativistic point particle and the relativistic string
 23. Lightcone strings and quantization
 24. D-branes and gauge fields
 25. Electromagnetic fields on D-branes. Supersymmetry and N = 4 SYM. T-duality of closed strings
 26. Dualities and M theory
 27. The AdS/CFT correspondence: definition and motivation
 Part III. Applying String Theory to Condensed Matter Problems: 28. The pp wave correspondence: string Hamiltonian from N = 4 SYM
 29. Spin chains from N = 4 SYM
 30. The Bethe ansatz: Bethe strings from classical strings in AdS
 31. Integrability and AdS/CFT
 32. AdS/CFT phenomenology: Lifshitz, Galilean and Schr odinger symmetries and their gravity duals
 33. Finite temperature and black holes
 34. Hot plasma equilibrium thermodynamics: entropy, charge density and chemical potential of strongly coupled theories
 35. Spectral functions and transport properties
 36. Dynamic and nonequilibrium properties of plasmas: electric transport, Langevin diffusion and thermalization via black hole quasi-normal modes
 37. The holographic superconductor
 38. The fluid-gravity correspondence: conformal relativistic fluids from black hole horizons
 39. Nonrelativistic fluids: from Einstein to Navier-Stokes and back
 Part IV. Advanced Applications: 40. Fermi gas and liquid in AdS/CFT
 41. Quantum Hall effect from string theory
 42. Quantum critical systems and AdS/CFT
 43. Particle-vortex duality and ABJM vs. AdS4 X CP3 duality
 44. Topology and non-standard statistics from AdS/CFT
 45. DBI scalar model for QGP/black hole hydro- and thermo-dynamics
 46. Holographic entanglement entropy in condensed matter
 47. Holographic insulators
 48. Holographic strange metals and the Kondo problem
 References
 Index.