The Verlinde formula in logarithmic CFT

Ridout, David and Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 2015. The Verlinde formula in logarithmic CFT. Journal of Physics: Conference Series 597 , 012065. 10.1088/1742-6596/597/1/012065

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Abstract

In rational conformal field theory, the Verlinde formula computes the fusion coefficients from the modular S-transformations of the characters of the chiral algebra's representations. Generalising this formula to logarithmic models has proven rather difficult for a variety of reasons. Here, a recently proposed formalism [1] for the modular properties of certain classes of logarithmic theories is reviewed, and refined, using simple examples. A formalism addressing fusion rules in simple current extensions is also reviewed as a means to tackle logarithmic theories to which the proposed modular formalism does not directly apply.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Institute of Physics
ISSN:	1742-6588
Date of First Compliant Deposit:	6 December 2016
Date of Acceptance:	1 January 2015
Last Modified:	04 May 2023 20:17
URI:	https://orca.cardiff.ac.uk/id/eprint/96666

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