Mathematical Lectures from Peking University

Conformal Field Theories and Tensor Categories

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

Editors: Bai, C., Fuchs, J., Huang, Y.-Z., Kong, L., Runkel, I., Schweigert, C. (Eds.)

  • First book devoted completely to the mathematics of conformal field theories, tensor categories and their applications
  • Contributors include both mathematicians and physicists
  • Some long expository articles are especially suitable for beginners
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eBook $109.00
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  • ISBN 978-3-642-39383-9
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Hardcover $139.00
price for USA
  • ISBN 978-3-642-39382-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-52470-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this book

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.

Table of contents (7 chapters)

  • From Hopf Algebras to Tensor Categories

    Andruskiewitsch, N. (et al.)

    Pages 1-31

  • Pattern-of-Zeros Approach to Fractional Quantum Hall States and a Classification of Symmetric Polynomial of Infinite Variables

    Wen, Xiao-Gang (et al.)

    Pages 33-65

  • Virasoro Central Charges for Nichols Algebras

    Semikhatov, A. M.

    Pages 67-92

  • Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction

    Runkel, Ingo (et al.)

    Pages 93-168

  • Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules

    Huang, Yi-Zhi (et al.)

    Pages 169-248

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-39383-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-642-39382-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-52470-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Conformal Field Theories and Tensor Categories
Book Subtitle
Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
Editors
  • Chengming Bai
  • Jürgen Fuchs
  • Yi-Zhi Huang
  • Liang Kong
  • Ingo Runkel
  • Christoph Schweigert
Series Title
Mathematical Lectures from Peking University
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-39383-9
DOI
10.1007/978-3-642-39383-9
Hardcover ISBN
978-3-642-39382-2
Softcover ISBN
978-3-662-52470-1
Series ISSN
2197-4209
Edition Number
1
Number of Pages
IX, 279
Number of Illustrations and Tables
15 b/w illustrations
Topics