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E-book

Title Conformal Field Theories and Tensor Categories : Proceedings of a Workshop Held at Beijing International Center for Mathematical Research / Chengming Bai ... [and 5 more], Editors
Published Berlin : Springer, 2014

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Description 1 online resource (235 pages)
Series Mathematical lectures from Peking University, 2197-4209
Mathematical lectures from Peking University. 2197-4209
Contents From Hopf Algebras to Tensor Categories / N. Andruskiewitsch, I. Angiono, A. García Iglesias, B. Torrecillas and C. Vay -- Pattern-of-Zeros Approach to Fractional Quantum Hall States and a Classification of Symmetric Polynomial of Infinite Variables / Xiao-Gang Wen and Zhenghan Wang -- Virasoro Central Charges for Nichols Algebras / A.M. Semikhatov -- Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction / Ingo Runkel, Matthias R. Gaberdiel and Simon Wood -- Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules / Yi-Zhi Huang, James Lepowsky and Lin Zhang -- C 2-Cofinite W -Algebras and Their Logarithmic Representations / Dražen Adamović and Antun Milas -- C 1-Cofiniteness and Fusion Products for Vertex Operator Algebras / Masahiko Miyamoto
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Calculus of tensors.
Quantum groups.
Conformal geometry.
Mathematical Concepts
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Calculus of tensors
Conformal geometry
Quantum groups
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Bai, Chengming, editor
Conformal Field Theories and Tensor Categories (Workshop) (2011 : Peking University)
ISBN 9783642393839
3642393837