Purely affine elementary su(N) fusions

Rasmussen, J. and Walton, M. A. (2002) Purely affine elementary su(N) fusions. Modern Physics Letters A, 17 19: 1249-1258. doi:10.1142/S0217732302007338


Author Rasmussen, J.
Walton, M. A.
Title Purely affine elementary su(N) fusions
Journal name Modern Physics Letters A   Check publisher's open access policy
ISSN 0217-7323
1793-6632
Publication date 2002-06
Sub-type Article (original research)
DOI 10.1142/S0217732302007338
Volume 17
Issue 19
Start page 1249
End page 1258
Total pages 10
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Language eng
Formatted abstract
We consider three-point couplings in simple Lie algebras - singlets in triple tensor products of their integrable highest weight representations. A coupling can be expressed as a linear combination of products of finitely many elementary couplings. This carries over to affine fusion, the fusion of Wess-Zumino-Witten conformal field theories, where the expressions are in terms of elementary fusions. In the case of su(4) it has been observed that there is a purely affine elementary fusion, i.e. an elementary fusion that is not an elementary coupling. In this paper we show by construction that there is at least one purely affine elementary fusion associated to every su(N > 3).
Keyword Affine fusion
Three-point couplings
Wess-zumino-witten
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Created: Thu, 22 Mar 2012, 12:03:25 EST by Kay Mackie on behalf of Mathematics