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Fusion rules and boundary conditions in thec= 0 triplet model

Gaberdiel, Matthias R., Runkel, Ingo and Wood, Simon ORCID: 2009. Fusion rules and boundary conditions in thec= 0 triplet model. Journal of Physics A: Mathematical and Theoretical 42 (32) , 325403. 10.1088/1751-8113/42/32/325403

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The logarithmic triplet model \Wc_{2,3} at c = 0 is studied. In particular, we determine the fusion rules of the irreducible representations from first principles and show that there exists a finite set of representations, including all irreducible representations, that closes under fusion. With the help of these results, we then investigate the possible boundary conditions of the \Wc_{2,3} theory. Unlike the familiar Cardy case where there is a consistent boundary condition for every representation of the chiral algebra, we find that for \Wc_{2,3} only a subset of representations gives rise to consistent boundary conditions. These then have boundary spectra with non-degenerate two-point correlators.

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

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