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Modular transformations and Verlinde formulae for logarithmic (p +, p -)-models

Ridout, David; Wood, Simon


The (p +, p -) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1-6(p+-p-)2/p+p- and a single Virasoro primary field of conformal weight (2p + - 1)(2p - - 1). Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analogue of the Verlinde formula to obtain the "fusion rules" of the singlet modules. The effect of...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2014.01.010


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