Chern Simons Theory Matrix Models And Topological Strings
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Chern Simons Theory Matrix Models And Topological Strings
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Author : Marcos Marino
language : en
Publisher: Oxford University Press
Release Date : 2005
Chern Simons Theory Matrix Models And Topological Strings written by Marcos Marino and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
This book provides an introduction to some of the most recent developments in string theory, and in particular to their mathematical implications and their impact in knot theory and algebraic geometry.
Chern Simons Theory Matrix Models And Topological Strings
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Author : Marcos Marino
language : en
Publisher: Oxford University Press
Release Date : 2005-09-22
Chern Simons Theory Matrix Models And Topological Strings written by Marcos Marino and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-22 with Science categories.
In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most important examples of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold invariants, to topological string theory, which is deeply related to Gromov-Witten invariants. This has led to some surprising relations between three-manifold geometry and enumerative geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments.
Chern Simons Theory Matrix Models And Topological Strings
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Author : Marcos Marino
language : en
Publisher:
Release Date : 2005
Chern Simons Theory Matrix Models And Topological Strings written by Marcos Marino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Gauge fields (Physics) categories.
After an introduction to matrix models and Cherns-Simons gauge theory, this book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implication of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory.
Topological Strings And Quantum Curves
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Author : Lotte Hollands
language : en
Publisher: Amsterdam University Press
Release Date : 2009
Topological Strings And Quantum Curves written by Lotte Hollands and has been published by Amsterdam University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW models is embedded in string theory. Secondly, this model is generalized to a web of dualities connecting topological string theory and N=2 supersymmetric gauge theories to a configuration of D-branes that intersect over a Riemann surface. This description yields a new perspective on topological string theory in terms of a KP integrable system based on a quantum curve. Thirdly, this thesis describes a geometric analysis of wall-crossing in N=4 string theory. And lastly, it offers a novel approach to constuct metastable vacua in type IIB string theory.
Geometric Science Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer Nature
Release Date : 2021-07-14
Geometric Science Of Information written by Frank Nielsen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-14 with Computers categories.
This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021. The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations; information geometry in physics; Lie group machine learning; geometric and symplectic methods for hydrodynamical models; harmonic analysis on Lie groups; statistical manifold and Hessian information geometry; geometric mechanics; deformed entropy, cross-entropy, and relative entropy; transformation information geometry; statistics, information and topology; geometric deep learning; topological and geometrical structures in neurosciences; computational information geometry; manifold and optimization; divergence statistics; optimal transport and learning; and geometric structures in thermodynamics and statistical physics.
Modular Forms And String Duality
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Author : Noriko Yui, Helena Verrill, and Charles F. Doran
language : en
Publisher: American Mathematical Soc.
Release Date :
Modular Forms And String Duality written by Noriko Yui, Helena Verrill, and Charles F. Doran and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.
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.
Applications Of Random Matrices In Physics
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Author : Édouard Brezin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-03
Applications Of Random Matrices In Physics written by Édouard Brezin 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 2006-03-03 with Language Arts & Disciplines categories.
Proceedings of the NATO Advanced Study Institute on Applications of Random Matrices in Physics, Les Houches, France, 6-25 June 2004
String Math 2011
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Author : Jonathan Block
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
String Math 2011 written by Jonathan Block and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the string-theoretic interface between the two academic fields. The String-Math conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface. This volume contains the proceedings of the inaugural conference in this series, String-Math 2011, which was held June 6-11, 2011, at the University of Pennsylvania.
Stacks And Categories In Geometry Topology And Algebra
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Author : Tony Pantev
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-06-26
Stacks And Categories In Geometry Topology And Algebra written by Tony Pantev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.