CaltechAUTHORS
  A Caltech Library Service

Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory

Kong, Liang and Runkel, Ingo (2008) Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory. In: Non-Commutative Structures in Mathematics and Physics. Erwin Schrödinger International Institute for Mathematical Physics , Brussels, pp. 1-21. https://resolver.caltech.edu/CaltechAUTHORS:20110527-100901347

[img]
Preview
PDF - Submitted Version
See Usage Policy.

191Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20110527-100901347

Abstract

We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of operator algebras.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/0902.3829arXivDiscussion Paper
Additional Information:© 2009 ESI. IR is grateful to the organisers of the stimulating conferences “Noncommutative Structures in Mathematics and Physics”, Brussels (July 22–26, 2008), and “Operator Algebras, Conformal Field Theory and Related Topics”, Vienna (September 8–19, 2008), for inviting him and giving him the opportunity to speak. We thank Jürgen Fuchs, Yi-Zhi Huang, Karl-Henning Rehren, Christoph Schweigert and Gérard Watts for helpful comments on a draft version of these proceedings. LK is supported in part by the Gordon and Betty Moore Foundation through Caltech’s Center for the Physics of Information, and by the National Science Foundation under Grant No. PHY-0803371. IR is in part supported by the EPSRC First Grant EP/E005047/1 and the STFC Rolling Grant ST/G000395/1.
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
NSFPHY-0803371
Engineering and Physical Sciences Research Council (EPSRC)EP/E005047/1
Science and Technology Facilities Council (STFC)ST/G000395/1
Classification Code:MSC: 81T40; 18D10; 17B69; 81T05
Record Number:CaltechAUTHORS:20110527-100901347
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110527-100901347
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23818
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Oct 2011 21:58
Last Modified:03 Oct 2019 02:50

Repository Staff Only: item control page