Conformal Field Theories and Tensor Categories
Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
Bai, Chengming.
editor.
Fuchs, Jürgen.
editor.
Huang, Yi-Zhi.
editor.
Kong, Liang.
editor.
Runkel, Ingo.
editor.
Schweigert, Christoph.
editor.
SpringerLink (Online service)
text
gw
2014
monographic
eng
access
IX, 279 p. 15 illus. online resource.
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.
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.
edited by Chengming Bai, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, Christoph Schweigert.
Mathematics
Associative rings
Rings (Algebra)
Category theory (Mathematics)
Homological algebra
Nonassociative rings
Mathematical physics
Mathematics
Mathematical Applications in the Physical Sciences
Associative Rings and Algebras
Category Theory, Homological Algebra
Non-associative Rings and Algebras
Mathematical Physics
QC19.2-20.85
519
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