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Geometry of String Theory Compactifications
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Geometry of String Theory Compactifications

Geometry of String Theory Compactifications

Alessandro Tomasiello

500 pages, parution le 12/01/2022

Résumé

String theory is a leading candidate for the unification of forces and matter. This book explores its predictions of the existence of additional dimensions and presents a unified perspective on the cutting-edge mathematical techniques required by graduate students and researchers in the field.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.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.Alessandro Tomasiello is Professor of Physics at the University of Milano-Bicocca. He has held various positions in Harvard University, Stanford University, and Ecole Polytechnique, Paris, during early stages in his career, and has been a plenary speaker at the annual Strings conference several times. His research applies modern mathematical techniques to problems of string theory and modern high-energy physics.

Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Alessandro Tomasiello
Parution 12/01/2022
Nb. de pages 500
EAN13 9781108473736

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