Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 2008 | Submitted
Book Section - Chapter Open

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

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.

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.

Attached Files

Submitted - Kong2010p13994.pdf

Files

Kong2010p13994.pdf
Files (195.8 kB)
Name Size Download all
md5:0f1e3eef5bbe9c03cbc0afb3e4d39fe8
195.8 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023