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Geometry Of String Theory Compactifications
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Book Synopsis Geometry of String Theory Compactifications by : Alessandro Tomasiello
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 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.
Book Synopsis Geometry of String Theory Compactifications by : Alessandro Tomasiello
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.
Book Synopsis String Theory Compactifications by : Mariana Graña
Download or read book String Theory Compactifications written by Mariana Graña and published by Springer. This book was released on 2017-03-21 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Clay Mathematics Institute. Summer School Publisher :American Mathematical Soc. ISBN 13 :9780821837153 Total Pages :396 pages Book Rating :4.8/5 (371 download)
Book Synopsis Strings and Geometry by : Clay Mathematics Institute. Summer School
Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis String Theory and M-theory by : Becker Katrin Schwarz John H Becker Melanie
Download or read book String Theory and M-theory written by Becker Katrin Schwarz John H Becker Melanie and published by . This book was released on 2014-05-14 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the reader through string theory, one of the most exciting and challenging areas of modern theoretical physics. It is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook. It contains exercises with solutions, and homework problems with solutions.
Book Synopsis Basic Concepts of String Theory by : Ralph Blumenhagen
Download or read book Basic Concepts of String Theory written by Ralph Blumenhagen and published by Springer Science & Business Media. This book was released on 2012-10-03 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mirror Symmetry written by Kentaro Hori and published by American Mathematical Soc.. This book was released on 2003 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Book Synopsis A First Course in String Theory by : Barton Zwiebach
Download or read book A First Course in String Theory written by Barton Zwiebach and published by Cambridge University Press. This book was released on 2009-01-22 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis M-Theory and Quantum Geometry by : Lárus Thorlacius
Download or read book M-Theory and Quantum Geometry written by Lárus Thorlacius and published by Springer Science & Business Media. This book was released on 2000-09-30 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers from an August 1999 NATO Advanced Study Institute held in Iceland report on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary particles and interactions. Chapters examine D-branes in string theory, moduli spaces of Calaba-Yau compactifications, the matrix model of M-theory, the holographic principle, Born-Infeld actions and D-brane physics, superconformal quantum mechanics and multi-black hole moduli spaces, large-N gauge theories, random surfaces, and Lorentzian and Euclidean quantum gravity. The editors are affiliated with the Science Institute of the University of Iceland. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis A Brief History of String Theory by : Dean Rickles
Download or read book A Brief History of String Theory written by Dean Rickles and published by Springer Science & Business Media. This book was released on 2014-02-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: During its forty year lifespan, string theory has always had the power to divide, being called both a 'theory of everything' and a 'theory of nothing'. Critics have even questioned whether it qualifies as a scientific theory at all. This book adopts an objective stance, standing back from the question of the truth or falsity of string theory and instead focusing on how it came to be and how it came to occupy its present position in physics. An unexpectedly rich history is revealed, with deep connections to our most well-established physical theories. Fully self-contained and written in a lively fashion, the book will appeal to a wide variety of readers from novice to specialist.
Book Synopsis The Shape of Inner Space by : Shing-Tung Yau
Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Book Synopsis String Theory and Particle Physics by : Luis E. Ibáñez
Download or read book String Theory and Particle Physics written by Luis E. Ibáñez and published by Cambridge University Press. This book was released on 2012-02-09 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic introduction to string phenomenology, outlining how string theory is connected to the real world of particle physics.
Book Synopsis Advances in String Theory by : Eric R. Sharpe
Download or read book Advances in String Theory written by Eric R. Sharpe and published by American Mathematical Soc.. This book was released on 2008 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Over the past decade string theory has had an increasing impact on many areas of physics: high energy and hadronic physics, gravitation and cosmology, mathematical physics and even condensed matter physics. The impact has been through many major conceptual and methodological developments in quantum field theory in the past fifteen years. In addition, string theory has exerted a dramatic influence on developments in contemporary mathematics, including Gromov-Witten theory, mirror symmetry in complex and symplectic geometry, and important ramifications in enumerative geometry." "This volume is derived from a conference of younger leading practitioners around the common theme: "What is string theory?" The talks covered major current topics, both mathematical and physical, related to string theory. Graduate students and research mathematicians interested in string theory in mathematics and physics will be interested in this workshop."--BOOK JACKET.
Book Synopsis Inflation and String Theory by : Daniel Baumann
Download or read book Inflation and String Theory written by Daniel Baumann and published by Cambridge University Press. This book was released on 2015-04-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past two decades have seen transformative advances in cosmology and string theory. Observations of the cosmic microwave background have revealed strong evidence for inflationary expansion in the very early universe, while new insights about compactifications of string theory have led to a deeper understanding of inflation in a framework that unifies quantum mechanics and general relativity. Written by two of the leading researchers in the field, this complete and accessible volume provides a modern treatment of inflationary cosmology and its connections to string theory and elementary particle theory. After an up-to-date experimental summary, the authors present the foundations of effective field theory, string theory, and string compactifications, setting the stage for a detailed examination of models of inflation in string theory. Three appendices contain background material in geometry and cosmological perturbation theory, making this a self-contained resource for graduate students and researchers in string theory, cosmology, and related fields.
Book Synopsis Homological Mirror Symmetry by : Anton Kapustin
Download or read book Homological Mirror Symmetry written by Anton Kapustin and published by Springer Science & Business Media. This book was released on 2009 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Enumerative Geometry and String Theory by : Sheldon Katz
Download or read book Enumerative Geometry and String Theory written by Sheldon Katz and published by American Mathematical Soc.. This book was released on 2006 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.
Book Synopsis String Theory and M-Theory by : Katrin Becker
Download or read book String Theory and M-Theory written by Katrin Becker and published by Cambridge University Press. This book was released on 2006-12-07 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
