Spinorial Geometry and Supergravity
arXiv:hep-th/0608139
Abstract
In the main part of this thesis, we present the foundations and initial results of the Spinorial Geometry formalism for solving Killing spinor equations. This method can be used for any supergravity theory, although we largely focus on D=11 supergravity. The D=5 case is investigated in an appendix. The exposition provides a comprehensive introduction to the formalism, and contains background material on the complex spin representations which, it is hoped, will provide a useful bridge between the mathematical literature and our methods. Many solutions to the D=11 Killing spinor equations are presented, and the consequences for the spacetime geometry are explored in each case. Also in this thesis, we consider another class of supergravity solutions, namely heterotic string backgrounds with (2,0) world-sheet supersymmetry. We investigate the consequences of taking alpha-prime corrections into account in the field equations, in order to remain consistent with anomaly cancellation, while requiring that spacetime supersymmetry is preserved.
PhD thesis, 120 pages; King's College London, 2006; adapted for arXiv
References in corpus (20)
- A rotating black ring in five dimensions
- All supersymmetric solutions of minimal supergravity in five dimensions
- Non-Kaehler String Backgrounds and their Five Torsion Classes
- Superstrings with Intrinsic Torsion
- The Geometry of D=11 Killing Spinors
- Intersecting M-branes
- Black Holes of D=5 Supergravity
- Electric Magnetic Duality in String Theory
- Supersymmetry and generalized calibrations
- The spinorial geometry of supersymmetric heterotic string backgrounds
- Lectures on Calabi-Yau and special Lagrangian geometry
- Pluecker-type relations for orthogonal planes
- The G_2 spinorial geometry of supersymmetric IIB backgrounds
- Systematics of M-theory spinorial geometry
- Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
- Special almost Hermitian geometry
- Timelike Killing spinors in seven dimensions
- Null structure groups in eleven dimensions
- Classification of supersymmetric spacetimes in eleven dimensions
- Four Lectures on M-theory