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arXiv · 1409.0670

The Verlinde formula in logarithmic CFT

David Ridout·Simon Wood
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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 (arXiv:1303.0847 [hep-th]) 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.

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David Ridout, Simon Wood. 2014-09-02. The Verlinde formula in logarithmic CFT. https://doi.org/10.1088/1742-6596/597/1/012065

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