STRING THEORY AND M-THEORY:
A Modern Introduction
KATRIN BECKER, MELANIE BECKER and JOHN H. SCHWARZ
Feb 2005 proposal: 350 pages
To be completed by Sept 30, 2006.
Reality: 729 pages completed on
April 3, 2006.
1 Introduction
2 The bosonic string
2.1 p-brane actions
2.2 The string action: Nambu-Goto and Polyakov
2.3 Polyakov action: the classical theory
2.4 Canonical quantization
2.5 Light-cone-gauge quantization
3 Conformal field theory and string interactions
3.1 Conformal field theory
3.2 BRST quantization
3.3 Background fields
3.4 Vertex operators
3.5 The structure of string perturbation theory
3.6 The linear-dilaton vacuum and non-critical strings
3.7 Witten's open-string field theory
4 Strings with world-sheet supersymmetry
4.1 Ramond-Neveu-Schwarz strings
4.2 Global world-sheet supersymmetry
4.3 Constraint equations and conformal invariance
4.4 Boundary conditions and mode expansions
4.5 Canonical quantization of the RNS string
4.6 Light-cone-gauge quantization of the RNS string
4.7 SCFT and BRST
5 Strings with space-time supersymmetry
5.1 The D0-brane action
5.2 The supersymmetric string action
5.3 Quantization of the GS action
5.4 Gauge anomalies and their cancellation
6 T-duality and D-branes
6.1 The bosonic string and D-branes
6.2 D-branes in type II superstring theories
6.3 Type I superstring theory
6.4 T-duality in the presence of background fields
6.5 World-volume actions for D-branes
7 The heterotic string
7.1 Non-Abelian gauge symmetry in string theory
7.2 Fermionic construction of the heterotic string
7.3 Toroidal compactification
7.4 Bosonic construction of the heterotic string
8 M-theory and string duality
8.1 Low-energy effective actions
8.2 S-duality
8.3 M-theory
8.4 M-theory dualities
9 String geometry
9.1 Orbifolds
9.2 Calabi-Yau manifolds: mathematical properties
9.3 Examples of Calabi-Yau manifolds
9.4 Calabi-Yau compactifications of the heterotic string
9.5 Deformations of Calabi-Yau manifolds
9.6 Special geometry
9.7 Type IIA and type IIB on Calabi-Yau three-folds
9.8 Non-perturbative effects in Calabi-Yau compactifications
9.9 Mirror symmetry
9.10 Heterotic string theory on Calabi-Yau three-folds
9.11 K3 compactifications and more string dualities
9.12 Manifolds with G2 and Spin(7) holonomy
9.13 Appendix: Some basic geometry and topology
10 Flux compactifications
10.1 Flux compactifications and Calabi-Yau four-folds
10.2 Flux compactifications of the type IIB theory
10.3 Moduli stabilization
10.4 Fluxes, torsion and heterotic strings
10.5 The strongly coupled heterotic string
10.6 The landscape
10.7 Fluxes and cosmology
10.8 Appendix: Dirac matrix identities
11 Black holes in string theory
11.1 Black holes in general relativity
11.2 Black-hole thermodynamics
11.3 Black holes in string theory
11.4 Statistical derivation of the entropy
11.5 The attractor mechanism
11.6 Small BPS black holes in four dimensions
12 Gauge theory/string theory dualities
12.1 Black-brane solutions in string theory and M-theory
12.2 Matrix theory
12.3 The AdS/CFT correspondence
12.4 Gauge/string duality for the conifold
12.5 Plane-wave space-times and their duals
12.6 Geometric transitions