Conformal Field Theories and Tensor Categories

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

  • Chengming Bai
  • Jürgen Fuchs
  • Yi-Zhi Huang
  • Liang Kong
  • Ingo Runkel
  • Christoph Schweigert
Part of the Mathematical Lectures from Peking University book series (MLPKU)

Table of contents

About these proceedings


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.


Conformal field theories Hopf algebra Logarithmic conformal Nonsemisimple representation theory Tensor categories Topological phase and gapped system Vertex operator algebras

Editors and affiliations

  • Chengming Bai
    • 1
  • Jürgen Fuchs
    • 2
  • Yi-Zhi Huang
    • 3
  • Liang Kong
    • 4
  • Ingo Runkel
    • 5
  • Christoph Schweigert
    • 6
  1. 1.Chern Institute of MathematicsNankai UniversityTianjinPeople's Republic of China
  2. 2.Theoretical PhysicsKarlstad UniversityKarlstadSweden
  3. 3.Department of MathematicsDepartment of Mathematics, Rutgers UniversityPiscatawayUSA
  4. 4.Institute for Advanced StudyTsinghua UniversityBeijingPeople's Republic of China
  5. 5.Department of MathematicsUniversity of HamburgHamburgGermany
  6. 6.Department of MathematicsUniversity of HamburgHamburgGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-39382-2
  • Online ISBN 978-3-642-39383-9
  • Series Print ISSN 2197-4209
  • Series Online ISSN 2197-4217
  • About this book