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Titlebook: Conformal Field Theories and Tensor Categories; Proceedings of a Wor Chengming Bai,Jürgen Fuchs,Christoph Schweigert Conference proceedings

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书目名称Conformal Field Theories and Tensor Categories
副标题Proceedings of a Wor
编辑Chengming Bai,Jürgen Fuchs,Christoph Schweigert
视频video
概述First book devoted completely to the mathematics of conformal field theories, tensor categories and their applications.Contributors include both mathematicians and physicists.Some long expository arti
丛书名称Mathematical Lectures from Peking University
图书封面Titlebook: Conformal Field Theories and Tensor Categories; Proceedings of a Wor Chengming Bai,Jürgen Fuchs,Christoph Schweigert Conference proceedings
描述The present volume is a collection of seven papers that are either .based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the.Beijing International Center for Mathematical Research, Peking University,  or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond .rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researcherslooking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extre
出版日期Conference proceedings 2014
关键词Conformal field theories; Hopf algebra; Logarithmic conformal; Nonsemisimple representation theory; Tens
版次1
doihttps://doi.org/10.1007/978-3-642-39383-9
isbn_softcover978-3-662-52470-1
isbn_ebook978-3-642-39383-9Series ISSN 2197-4209 Series E-ISSN 2197-4217
issn_series 2197-4209
copyrightSpringer-Verlag Berlin Heidelberg 2014
The information of publication is updating

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Virasoro Central Charges for Nichols Algebras,. The central charge takes very suggestive values for some items in Heckenberger’s list of rank-2 Nichols algebras. In particular, this might be viewed as an indication of the existence of reasonable logarithmic extensions of . .≡. ., . ., and . . models of conformal field theory. In the . . case, t
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Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction,ulk theory which can be non-degenerately joined to a boundary theory is defined. The purpose of this construction is to obtain the more complicated bulk theories from simpler boundary theories. We then describe the algebraic counterpart of the maximal bulk theory, namely the so-called full centre of
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,,-Cofinite ,-Algebras and Their Logarithmic Representations, constructions of .-algebras coming from screening operators. Then we review the results on . .-cofiniteness, the structure of Zhu’s algebras, and the existence of logarithmic modules for triplet vertex algebras. We propose some conjectures and open problems which put the theory of triplet vertex al
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https://doi.org/10.1007/978-3-642-39383-9Conformal field theories; Hopf algebra; Logarithmic conformal; Nonsemisimple representation theory; Tens
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