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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.

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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.

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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.
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Gordon and Betty Moore FoundationUNSPECIFIED
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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23818
Deposited By: Tony Diaz
Deposited On:27 Oct 2011 21:58
Last Modified:03 Oct 2019 02:50

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