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. https://resolver.caltech.edu/CaltechAUTHORS:20160511-105134551

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Abstract

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

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1016/0370-2693(95)00172-H	DOI	Article
http://www.sciencedirect.com/science/article/pii/037026939500172H	Publisher	Article
http://arxiv.org/abs/hep-th/9410089	arXiv	Discussion Paper

ORCID:

Author	ORCID
Kapustin, Anton	0000-0003-3903-5158

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.

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-FG03-92-ER40701

Issue or Number:

1-2

DOI:

10.1016/0370-2693(95)00172-H

Record Number:

CaltechAUTHORS:20160511-105134551

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160511-105134551

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, http://dx.doi.org/10.1016/0370-2693(95)00172-H. (http://www.sciencedirect.com/science/article/pii/037026939500172H)

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

66987

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

11 May 2016 18:27

Last Modified:

11 Nov 2021 00:25

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