Fusion rules of the {\cal W}_{p,q} triplet models

Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 2010. Fusion rules of the {\cal W}_{p,q} triplet models. Journal of Physics A: Mathematical and Theoretical 43 (4) , 045212. 10.1088/1751-8113/43/4/045212

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Abstract

In this paper we determine the fusion rules of the logarithmic \mathcal {W}_{p,q} triplet theory and construct the Grothendieck group with subgroups for which consistent product structures can be defined. The fusion rules are then used to determine projective covers. This allows us also to write down a candidate for a modular invariant partition function. Our results demonstrate that recent work on the \mathcal {W}_{2,3} model generalizes naturally to arbitrary (p, q).

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	IOP
ISSN:	1751-8113
Date of First Compliant Deposit:	6 December 2016
Last Modified:	02 Nov 2022 09:52
URI:	https://orca.cardiff.ac.uk/id/eprint/96656

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