Geometry of string theory compactifications
著者
書誌事項
Geometry of string theory compactifications
Cambridge University Press, 2022
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
String theory is a leading candidate for the unification of universal forces and matter, and one of its most striking predictions is the existence of small additional dimensions that have escaped detection so far. This book focuses on the geometry of these dimensions, beginning with the basics of the theory, the mathematical properties of spinors, and differential geometry. It further explores advanced techniques at the core of current research, such as G-structures and generalized complex geometry. Many significant classes of solutions to the theory's equations are studied in detail, from special holonomy and Sasaki-Einstein manifolds to their more recent generalizations involving fluxes for form fields. Various explicit examples are discussed, of interest to graduates and researchers.
目次
- Conventions. Preface. Introduction. 1. String theory and supergravity
- 2. Spinors
- 3. From spinors to forms
- 4. Differential geometry
- 5. Geometry of forms
- 6. Kahler geometry
- 7. Ricci-flatness
- 8. Vacua and reductions
- 9. Minkowski compactifications
- 10. The vacuum problem in general
- 11. AdS vacua
- 12. Frontiers. Bibliography. Index.
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