Fusion in coset CFT from admissible singular-vector decoupling

Mathieu, P., Rasmussen, J. and Walton, M. A. (2001) Fusion in coset CFT from admissible singular-vector decoupling. Nuclear Physics B, 595 3: 587-604. doi:10.1016/S0550-3213(00)00674-X


Author Mathieu, P.
Rasmussen, J.
Walton, M. A.
Title Fusion in coset CFT from admissible singular-vector decoupling
Journal name Nuclear Physics B   Check publisher's open access policy
ISSN 0550-3213
1873-1562
Publication date 2001-02
Sub-type Article (original research)
DOI 10.1016/S0550-3213(00)00674-X
Open Access Status DOI
Volume 595
Issue 3
Start page 587
End page 604
Total pages 18
Place of publication Amsterdam, Netherlands
Publisher Elsevier
Language eng
Formatted abstract
Fusion rules for Wess–Zumino–Witten (WZW) models at fractional level can be defined in two ways, with distinct results. The Verlinde formula yields fusion coefficients that can be negative. These signs cancel in coset fusion rules, however. On the other hand, the fusion coefficients calculated from decoupling of singular vectors are non-negative. They produce incorrect coset fusion rules, however, when factorisation is assumed. Here we give two prescriptions that yield the correct coset fusion rules from those found for the WZW models by the decoupling method. We restrict to the Virasoro minimal models for simplicity, and because decoupling results are only complete in the su(2) source case.
Keyword conformal field theory
nonunitary cosets
fusion
singular vectors
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, 12:31:47 EST by Kay Mackie on behalf of Mathematics