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Author: Davide Cassani
Publisher:
ISBN:
Category :
Languages : en
Pages : 187
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Book Description
Cette thèse porte sur les compactifications en théorie des cordes et supergravité. Nous étudions les réductions dimensionnelles des théories de type II sur des fonds avec flux, en utilisant les techniques de la géométrie géneralisée de Hitchin. Nous commençons en introduisant les outils mathématiques nécessaires, en particulier les structures SU(3)xSU(3) sur le fibré tangent généralisé T+T*. Ensuite nous étudions la théorie de supergravité N=2 quadri-dimensionnelle définie par réduction des théories de type II sur des fonds à structure SU(3)xSU(3) avec flux généraux: nous établissons l'action bosonique complète, et nous montrons comment ses donées sont reliées au formalisme de la géométrie généralisée sur T+T*. Puis nous nous concentrons sur les relations entre les descriptions à 10d et à 4d des fonds supersymétriques avec flux. Nous terminons en présentant des exemples concrets, basés sur des espaces quotients avec structure SU(3).
Author: Davide Cassani
Publisher:
ISBN:
Category :
Languages : en
Pages : 187
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Book Description
Cette thèse porte sur les compactifications en théorie des cordes et supergravité. Nous étudions les réductions dimensionnelles des théories de type II sur des fonds avec flux, en utilisant les techniques de la géométrie géneralisée de Hitchin. Nous commençons en introduisant les outils mathématiques nécessaires, en particulier les structures SU(3)xSU(3) sur le fibré tangent généralisé T+T*. Ensuite nous étudions la théorie de supergravité N=2 quadri-dimensionnelle définie par réduction des théories de type II sur des fonds à structure SU(3)xSU(3) avec flux généraux: nous établissons l'action bosonique complète, et nous montrons comment ses donées sont reliées au formalisme de la géométrie généralisée sur T+T*. Puis nous nous concentrons sur les relations entre les descriptions à 10d et à 4d des fonds supersymétriques avec flux. Nous terminons en présentant des exemples concrets, basés sur des espaces quotients avec structure SU(3).
Author: Alessandro Tomasiello
Publisher: Cambridge University Press
ISBN: 1108614582
Category : Science
Languages : en
Pages : 678
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Book Description
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.
Author: Mariana Graña
Publisher: Springer
ISBN: 3319543164
Category : Science
Languages : en
Pages : 82
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Book Description
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: Alessandro Tomasiello
Publisher: Cambridge University Press
ISBN: 1108473733
Category : Science
Languages : en
Pages : 677
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Book Description
A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.
Author: Florian Gmeiner
Publisher:
ISBN:
Category :
Languages : en
Pages : 127
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 97
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Book Description
Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effectively gain insights into non-perturbative worldsheet instanton effects. It was also shown that the study of mirror symmetry for Calabi-Yau flux compactification leads us to the territory of ''Non-Kaehlerity''. In this thesis we demonstrate how to construct a new class of symplectic non-Kaehler and complex non-Kaehler string theory vacua via generalized geometric transitions. The class admits a mirror pairing by construction. From a variety of sources, including super-gravity analysis and KK reduction on SU(3) structure manifolds, we conclude that string theory connects Calabi-Yau spaces to both complex non-Kaehler and symplectic non-Kaehler manifolds and the resulting manifolds lie in generalized complex geometry. We go on to study the topological twisted models on a class of generalized complex geometry, bi-Hermitian geometry, which is the most general target space for (2, 2) world-sheet theory with non-trivial H flux turned on. We show that the usual Kaehler A and B models are generalized in a natural way. Since the gauged supergravity is the low energy effective theory for the compactifications on generalized geometries, we study the fate of flux-induced isometry gauging in N = 2 IIA and heterotic strings under non-perturbative instanton effects. Interestingly, we find we have protection mechanisms preventing the corrections to the hyper moduli spaces. Besides generalized geometries, we also discuss the possibility of new NS-NS fluxes in a new doubled formalism.
Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 9780821837153
Category : Mathematics
Languages : en
Pages : 396
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Book Description
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.
Author: Eric R. Sharpe
Publisher: American Mathematical Soc.
ISBN: 0821847643
Category : Mathematics
Languages : en
Pages : 259
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Book Description
"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.
Author: Ralph Blumenhagen
Publisher: Springer Science & Business Media
ISBN: 3642294960
Category : Science
Languages : en
Pages : 787
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Book Description
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.
Author: Sylvie Payche
Publisher: World Scientific
ISBN: 9814460052
Category : Science
Languages : en
Pages : 378
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Book Description
Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory. This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
