Geometry of String Theory Compactifications

String theory is a leading candidate for the unification of universal forces and matter, with its most striking prediction being the existence of small additional dimensions that have escaped detection. This book focuses on the geometry of these dimensions, beginning with the basics of the theory and exploring advanced techniques such as G-structures and generalized complex geometry. Various explicit examples are discussed, of interest to graduates and researchers.

Format: Hardback
Length: 500 pages
Publication date: 13 January 2022
Publisher: Cambridge University Press

String theory is a prominent contender for the unification of universal forces and matter, and one of its most remarkable predictions is the existence of tiny additional dimensions that have evaded detection until now. This book delves into the geometry of these dimensions, starting with the fundamentals of the theory, the mathematical characteristics of spinors, and differential geometry. It further explores advanced techniques at the heart of current research, such as G-structures and generalized complex geometry. Numerous significant classes of solutions to the theory's equations are examined in depth, ranging 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.

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. Numerous significant classes of solutions to the theory's equations are examined in depth, ranging 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.

String theory is a prominent contender for the unification of universal forces and matter, and one of its most remarkable predictions is the existence of tiny additional dimensions that have evaded detection until now. This book delves into the geometry of these dimensions, starting with the fundamentals of the theory, the mathematical characteristics of spinors, and differential geometry. It further explores advanced techniques at the heart of current research, such as G-structures and generalized complex geometry. Numerous significant classes of solutions to the theory's equations are examined in depth, ranging 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.

Weight: 1446g
Dimension: 186 x 263 x 44 (mm)
ISBN-13: 9781108473736