Geometry of String Theory Compactifications
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.
1139774534
Geometry of String Theory Compactifications
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.
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Geometry of String Theory Compactifications

Geometry of String Theory Compactifications

by Alessandro Tomasiello
Geometry of String Theory Compactifications

Geometry of String Theory Compactifications

by Alessandro Tomasiello

Overview

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.

Product Details

ISBN-13: 9781108473736
Publisher: Cambridge University Press
Publication date: 01/13/2022
Pages: 500
Product dimensions: 7.20(w) x 10.31(h) x 1.57(d)

About the Author

Alessandro Tomasiello is Professor of Physics at the University of Milano-Bicocca. He has held various positions in Harvard University, Stanford University, and École 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.

Table of Contents

Conventions. Preface. Introduction. 1. String theory and supergravity; 2. Spinors; 3. From spinors to forms; 4. Differential geometry; 5. Geometry of forms; 6. Kähler 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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