Conformal Field Theories and Tensor Categories (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
279
Utgivningsdatum
2016-09-17
Upplaga
Softcover reprint of the original 1st ed. 2014
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Schweigert, Christoph (red.)
Illustrationer
15 Illustrations, black and white; IX, 279 p. 15 illus.
Dimensioner
234 x 156 x 15 mm
Vikt
413 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783662524701

Conformal Field Theories and Tensor Categories

Proceedings of a Workshop Held at Beijing International Center for Mathematical Research

av Chengming Bai, Jrgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel
Häftad,  Engelska, 2016-09-17
1692
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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 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.
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Chengming Bai, Jrgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel

Innehållsförteckning

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.

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