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.