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The Verlinde formula in logarithmic CFT

Ridout, David and Wood, Simon ORCID: 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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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

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