Geometry of String Theory Compactifications

Geometry of String Theory Compactifications

Author: Alessandro Tomasiello

Publisher: Cambridge University Press

Published: 2022-01-13

Total Pages: 677

ISBN-13: 1108473733

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


String Theory Compactifications

String Theory Compactifications

Author: Mariana Graña

Publisher: Springer

Published: 2017-03-21

Total Pages: 82

ISBN-13: 3319543164

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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.


Strings and Geometry

Strings and Geometry

Author: Clay Mathematics Institute. Summer School

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 396

ISBN-13: 9780821837153

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Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.


String Theory and M-Theory

String Theory and M-Theory

Author: Katrin Becker

Publisher: Cambridge University Press

Published: 2006-12-07

Total Pages: 756

ISBN-13: 9780521860697

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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.


Basic Concepts of String Theory

Basic Concepts of String Theory

Author: Ralph Blumenhagen

Publisher: Springer Science & Business Media

Published: 2012-10-03

Total Pages: 787

ISBN-13: 3642294979

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The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion. Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures. End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.


The Shape of Inner Space

The Shape of Inner Space

Author: Shing-Tung Yau

Publisher: Il Saggiatore

Published: 2010-09-07

Total Pages: 398

ISBN-13: 0465020232

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The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.


Homological Mirror Symmetry

Homological Mirror Symmetry

Author: Anton Kapustin

Publisher: Springer Science & Business Media

Published: 2009

Total Pages: 281

ISBN-13: 3540680292

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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.


String Theory in a Nutshell

String Theory in a Nutshell

Author: Elias Kiritsis

Publisher: Princeton University Press

Published: 2019-04-16

Total Pages: 883

ISBN-13: 0691188963

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The essential introduction to modern string theory—now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world’s leading authorities on the subject, this concise and accessible book starts with basic definitions and guides readers from classic topics to the most exciting frontiers of research today. It covers perturbative string theory, the unity of string interactions, black holes and their microscopic entropy, the AdS/CFT correspondence and its applications, matrix model tools for string theory, and more. It also includes 600 exercises and serves as a self-contained guide to the literature. This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics. In addition, the discussion of conformal field theory has been extensively revised to make it more student-friendly. The essential one-volume reference for students and researchers in theoretical high-energy physics Now fully expanded and revised Provides expanded coverage of AdS/CFT and its applications, namely the holographic renormalization group, holographic theories for Yang-Mills and QCD, nonequilibrium thermal physics, finite density physics, and entanglement entropy Ideal for mathematicians and physicists specializing in theoretical cosmology, QCD, and novel approaches to condensed matter systems An online illustration package is available to professors


String Theory and Particle Physics

String Theory and Particle Physics

Author: Luis E. Ibáñez

Publisher: Cambridge University Press

Published: 2012-02-09

Total Pages: 689

ISBN-13: 0521517524

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A systematic introduction to string phenomenology, outlining how string theory is connected to the real world of particle physics.


A First Course in String Theory

A First Course in String Theory

Author: Barton Zwiebach

Publisher: Cambridge University Press

Published: 2009-01-22

Total Pages: 697

ISBN-13: 1139643916

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String theory made understandable. Barton Zwiebach is once again faithful to his goal of making string theory accessible to undergraduates. He presents the main concepts of string theory in a concrete and physical way to develop intuition before formalism, often through simplified and illustrative examples. Complete and thorough in its coverage, this new edition now includes AdS/CFT correspondence and introduces superstrings. It is perfectly suited to introductory courses in string theory for students with a background in mathematics and physics. New sections cover strings on orbifolds, cosmic strings, moduli stabilization, and the string theory landscape. Now with almost 300 problems and exercises, with password-protected solutions for instructors at www.cambridge.org/zwiebach.