Geometry of String Theory Compactifications

Download or read book Geometry of String Theory Compactifications written by Alessandro Tomasiello and published by Cambridge University Press. This book was released on 2022-01-13 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.