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On the classification of fusion rings

Gepner, Doron and Kapustin, Anton (1995) On the classification of fusion rings. Physics Letters B, 349 (1-2). pp. 71-75. ISSN 0370-2693. doi:10.1016/0370-2693(95)00172-H.

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The fusion rules and modular matrix of a rational conformal field theory obey a list of properties. We use these properties to classify rational conformal field theories with not more than six primary fields and small values of the fusion coefficients. We give a catalogue of fusion rings which can arise for these field theories. It is shown that all such fusion rules can be realized by current algebras. Our results support the conjecture that all rational conformal field theories are related to current algebras.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 1995 Elsevier Science B.V. Received 25 October 1994. Work supported in part by the U.S. Department of Energy under Grant No. DE-FG03-92-ER40701. We would like to thank S. Cherkis for numerous discussions.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Issue or Number:1-2
Record Number:CaltechAUTHORS:20160511-105134551
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Official Citation:Doron Gepner, Anton Kapustin, On the classification of fusion rings, Physics Letters B, Volume 349, Issues 1–2, 13 April 1995, Pages 71-75, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66987
Deposited By: Tony Diaz
Deposited On:11 May 2016 18:27
Last Modified:11 Nov 2021 00:25

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