A modular invariant bulk theory for the \boldsymbol{c=0} triplet model

Gaberdiel, Matthias R., Runkel, Ingo and Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 2011. A modular invariant bulk theory for the \boldsymbol{c=0} triplet model. Journal of Physics A: Mathematical and Theoretical 44 (1) , 015204. 10.1088/1751-8113/44/1/015204

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Abstract

A proposal for the bulk space of the logarithmic {\cal W}_{2,3}-triplet model at central charge zero is made. The construction is based on the idea that one may reconstruct the bulk theory of a rational conformal field theory from its boundary theory. The resulting bulk space is a quotient of the direct sum of projective representations, which is isomorphic, as a vector space, to the direct sum of tensor products of the irreducible representations with their projective covers. As a consistency check of our analysis, we show that the partition function of the bulk theory is modular invariant, and that the boundary state analysis is compatible with the proposed annulus partition functions of this model.

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/96655

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