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Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research 2014 ed. [Hardback]

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  • Formāts: Hardback, 279 pages, height x width: 235x155 mm, weight: 606 g, 15 Illustrations, black and white; IX, 279 p. 15 illus., 1 Hardback
  • Sērija : Mathematical Lectures from Peking University
  • Izdošanas datums: 13-Nov-2013
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642393829
  • ISBN-13: 9783642393822
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  • Formāts: Hardback, 279 pages, height x width: 235x155 mm, weight: 606 g, 15 Illustrations, black and white; IX, 279 p. 15 illus., 1 Hardback
  • Sērija : Mathematical Lectures from Peking University
  • Izdošanas datums: 13-Nov-2013
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642393829
  • ISBN-13: 9783642393822
Citas grāmatas par šo tēmu:
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.
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.