Conformal Field Theories and Tensor Categories

Chengming Bai

ISBN 10: 3662524708 / ISBN 13: 9783662524701

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2016, 2016

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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.

Codice articolo 9783662524701

Dati bibliografici

• Titolo: Conformal Field Theories and Tensor Categories
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2016
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 3662524708
• ISBN 13: 9783662524701
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 16 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 16 millimetri di profondità
• Peso: 446 grammi

Descrizione articolo

Riassunto

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 extremely useful for researchers working in these areas.