Ridout, David and Wood, Simon 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 |
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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 Jun 2017 09:33 |
URI: | http://orca.cf.ac.uk/id/eprint/96666 |
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