conformal field theory and topology 2024

Conformal Field Theory and Topology

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One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry An essential difficulty in quantum field theory comes from infinitedimensional freedom of a system Techniques dealing with such infinitedimensional objects developed in the framework of quantum field theory have been influential in geometry as well This book focuses on the relationship between twodimensional quantum field theory and threedimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Wittens invariant for 3manifolds which was derived from ChernSimons gauge theory This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds The book is organized as follows The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry Chapter 1 presents conformal field theory based on the geometry of loop groups Chapter 2 deals with the holonomy of conformal field theory Chapter 3 treats ChernSimons perturbation theory The final chapter discusses topological invariants for 3manifolds derived from ChernSimons perturbation theory

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theory by V Download is immediately available upon purchase

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theories And Tensor Categories by Bai Download is immediately available upon purchase

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theory by Nutku Download is immediately available upon purchase

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Springer Verlag New York Conformal

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A digital copy of Conformal Field Theories by Difrancesco Download is immediately available upon purchase

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theory And Solvable Lattice Models by Jimbo Download is immediately available upon purchase

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Vitalsource Technologies Inc Strings

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A digital copy of Strings Conformal Fields And Mtheory by Kaku Download is immediately available upon purchase

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Vitalsource Technologies Inc Boundary

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A digital copy of Boundary Conformal Field Theory and the Worldsheet Approach to DBranes by Andreas Recknagel Download is immediately available upon purchase

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Strings Conformal Fields and M

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Building on the foundations laid in his Introduction to Superstrings and M Theory Professor Kaku discusses such topics as the classification of conformal string theories knot theory the YangBaxter relation quantum groups and the insights into 11dimensional strings recently obtained from Mtheory New chapters discuss such topics as SeibergWitten theory M theory and duality and Dbranes Throughout the author conveys the vitality of the current research and places readers at its forefront Several chapters reviewing the fundamentals of string theory making the presentation of the material selfcontained while keeping overlap with the earlier book to a minimum

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Affine Lie Algebras and Quantum

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This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups It is unique in discussing these two subjects in a unified manner which is made possible by discussing their respective applications in conformal field theory The description of affine algebras covers the classification problem the connection with loop algebras and representation theory including modular properties The necessary background from the theory of semisimple Lie algebras is also provided The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory but other aspects such as Rmatrices and matrix quantum groups are also dealt with

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Vitalsource Technologies Inc Epfl Lectures

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A digital copy of Epfl Lectures On Conformal Field Theory In D 3 Dimensions by Rychkov Download is immediately available upon purchase

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theories by Philippe DiFrancesco Download is immediately available upon purchase

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Vitalsource Technologies Inc Conformal Field

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A digital copy of Conformal Field Theory Automorphic Forms And Related Topics by Kohnen Download is immediately available upon purchase

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Affine Lie Algebras and Quantum

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This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups It is unique in discussing these two subjects in a unified manner which is made possible by discussing their respective applications in conformal field theory The description of affine algebras covers the classification problem the connection with loop algebras and representation theory including modular properties The necessary background from the theory of semisimple Lie algebras is also provided The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory but other aspects such as Rmatrices and matrix quantum groups are also dealt with

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Introduction to Conformal Field Theory

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Based on classtested notes this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory It introduces Conformal Field Theory at a basic level KacMoody algebras oneloop partition functions Superconformal Field Theories Gepner Models and Boundary Conformal Field Theory Eventually the concept of orientifold constructions is explained in detail for the example of the bosonic string In providing many detailed CFT calculations this book is ideal for students and scientists intending to become acquainted with CFT techniques relevant for string theory but also for students and nonspecialists from related fields

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Conformal Field Theory

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Filling an important gap in the literature this comprehensive text develops conformal field theory from first principles The treatment is selfcontained pedagogical and exhaustive and includes a great deal of background material on quantum field theory statistical mechanics Lie algebras and affine Lie algebras The many exercises with a wide spectrum of difficulty and subjects complement and in many cases extend the text The text is thus not only an excellent tool for classroom teaching but also for individual study Intended primarily for graduate students and researchers in theoretical highenergy physics mathematical physics condensed matter theory statistical physics the book will also be of interest in other areas of theoretical physics and mathematics It will prepare the reader for original research in this very active field of theoretical and mathematical physics

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Conformal Field Theory

Discover information, advice, and prices for Conformal Field Theory sold for 187.92 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .

Filling an important gap in the literature this comprehensive text develops conformal field theory from first principles The treatment is selfcontained pedagogical and exhaustive and includes a great deal of background material on quantum field theory statistical mechanics Lie algebras and affine Lie algebras The many exercises with a wide spectrum of difficulty and subjects complement and in many cases extend the text The text is thus not only an excellent tool for classroom teaching but also for individual study Intended primarily for graduate students and researchers in theoretical highenergy physics mathematical physics condensed matter theory statistical physics the book will also be of interest in other areas of theoretical physics and mathematics It will prepare the reader for original research in this very active field of theoretical and mathematical physics

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Strings conformal fields and M

Explore tips, opinions, and features on Strings conformal fields and M sold at 72.42 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

Building on the foundations laid in his Introduction to Superstrings and M Theory Professor Kaku discusses such topics as the classification of conformal string theories knot theory the YangBaxter relation quantum groups and the insights into 11dimensional strings recently obtained from Mtheory New chapters discuss such topics as SeibergWitten theory M theory and duality and Dbranes Throughout the author conveys the vitality of the current research and places readers at its forefront Several chapters reviewing the fundamentals of string theory making the presentation of the material selfcontained while keeping overlap with the earlier book to a minimum

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Springer Verlag New York Strings

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A digital copy of Strings Conformal Fields and MTheory by Michio Kaku Download is immediately available upon purchase

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Conformal Field Theory New Non

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Conformal Field Theory consists of pedagogical lectures delivered at the Feza Gursey Institute Istanbul in the summer of 1998 on the following topics Nonperturbative dynamics of 4dimensional Field theories P Argyres Cornell University 2Dimensional QCD Grassmanians and Matrix Models S Rajeev University of Rochester Affine KacMoody algebras and CFT M Walton Lethbridge CFT and Vertex Operator algebras T Gannon York and Meromorphic CFT M Gaberdiel Cambridge The book is suitable for advanced graduate students and researchers in theoretical particle or statistical physics as well as pure mathematicians

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