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Conformal Field Theories and Tensor Categories

Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
BuchGebunden
279 Seiten
Englisch
Springererschienen am13.11.2013
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 theBeijing 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 extremely useful for researchers working in these areas.mehr
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Produkt

KlappentextThe 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 theBeijing 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 extremely useful for researchers working in these areas.
Zusammenfassung
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 articles are especially suitable for beginners

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-642-39382-2
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2013
Erscheinungsdatum13.11.2013
ReiheMathematical Lectures from Peking University
Seiten279 Seiten
SpracheEnglisch
Gewicht600 g
IllustrationenIX, 279 p. 15 illus.
Artikel-Nr.29078636

Inhalt/Kritik

Inhaltsverzeichnis
From Hopf algebras to tensor categories.- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables.- Virasoro central changes for Nichols algebras.- Logarithmic bulk and boundary conformal field theory and the full centre construction.- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules.- C2-cofinite w-algebras and their logarithmic representations.- C1-co_niteness and fusion products of vertex operator algebras.mehr

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