Geometry Of String Theory Compactifications

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Geometry Of String Theory Compactifications

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Author : Alessandro Tomasiello
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-13

Geometry Of String Theory Compactifications written by Alessandro Tomasiello and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Science categories.

A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.

Geometry Of String Theory Compactifications

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Author : Alessandro Tomasiello
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-13

Geometry Of String Theory Compactifications written by Alessandro Tomasiello and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Science categories.

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.

String Theory Compactifications

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Author : Mariana Graña
language : en
Publisher: Springer
Release Date : 2017-03-21

String Theory Compactifications written by Mariana Graña and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Science categories.

The lectures in this book provide graduate students and non-specialist researchers with a concise introduction to the concepts and formalism required to reduce the ten-dimensional string theories to the observable four-dimensional space-time - a procedure called string compactification. The text starts with a very brief introduction to string theory, first working out its massless spectrum and showing how the condition on the number of dimensions arises. It then dwells on the different possible internal manifolds, from the simplest to the most relevant phenomenologically, thereby showing that the most elegant description is through an extension of ordinary Riemannian geometry termed generalized geometry, which was first introduced by Hitchin. Last but not least, the authors review open problems in string phenomenology, such as the embedding of the Standard Model and obtaining de Sitter solutions.

String Theory And M Theory

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Author : Katrin Becker
language : en
Publisher: Cambridge University Press
Release Date : 2006-12-07

String Theory And M Theory written by Katrin Becker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-07 with Science categories.

String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.

Strings Branes And Gravity

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Author : Jeffrey Harvey
language : en
Publisher: World Scientific
Release Date : 2001

Strings Branes And Gravity written by Jeffrey Harvey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant. Contents: TASI Lectures on Branes, Black Holes and Anti-De Sitter Space (M J Duff); D-Brane Primer (C V Johnson); TASI Lectures on Black Holes in String Theory (A W Peet); TASI Lectures: Cosmology for String Theorists (S M Carroll); TASI Lectures on Matrix Theory (T Banks); TASI Lectures on M Theory Phenomenology (M Dine); TASI Lectures: Introduction to the AdS/CFT Correspondence (I R Klebanov); TASI Lectures on Compactification and Duality (D R Morrison); Compactification, Geometry and Duality: N =2 (P S Aspinwall); TASI Lectures on Non-BPS D-Brane Systems (J H Schwarz); Lectures on Warped Compactifications and Stringy Brane Constructions (S Kachru); TASI Lectures on the Holographic Principle (D Bigatti & L Susskind). Readership: Graduate students, postdoctoral fellows and researchers in high energy physics.

Geometric And Topological Methods For Quantum Field Theory

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Author : Hernan Ocampo
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-13

Geometric And Topological Methods For Quantum Field Theory written by Hernan Ocampo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-13 with Science categories.

This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Mathematical Aspects Of String Theory

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Author : Shing-Tung Yau
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1987

Mathematical Aspects Of String Theory written by Shing-Tung Yau and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.

Homological Mirror Symmetry

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Author : Anton Kapustin
language : en
Publisher: Springer Science & Business Media
Release Date : 2009

Homological Mirror Symmetry written by Anton Kapustin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

An ideal reference on the mathematical aspects of quantum field theory, this volume provides a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives.

M Theory And Quantum Geometry

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Author : Lárus Thorlacius
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30

M Theory And Quantum Geometry written by Lárus Thorlacius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-30 with Mathematics categories.

Proceedings of the NATO Advanced Study Institute on Quantum Geometry, held in Akureyri, Iceland, on August 9-20, 1999