Neuware -The present volume is a collection of seven papers that are eitherbased 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 beyondrational 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 292 pp. Englisch.

Bestandsnummer des Verk�ufers 9783642393822

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Titel: Conformal Field Theories and Tensor Categories
Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2013
Ver�ffentlichungsdatum: 2013
Sprache: Englisch
ISBN-10: 3642393829
ISBN-13: 9783642393822
Bindung: Buch
Zustand: Neu

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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 researchers looking 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.

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