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New identities between unitary minimal Virasoro characters

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Abstract

Two sets of identities between unitary minimal Virasoro characters at levelsm=3, 4, 5 are presented and proven. The first identity suggests a connection between the Ising and the tricritical Ising models since them=3 Virasoro characters are obtained as bilinears ofm=4 Virasoro characters. The second identity given the tricritical Ising model characters as bilinears in the Ising model characters and the six combinations ofm=5 Virasoro characters which do not appear in the spectrum of the three state Potts model. The implication of these identities on the study of the branching rules ofN=4 superconformal characters into\(S\widehat{U(2)} \times S\widehat{U(2)}\) characters is discussed.

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Communicated by R.H. Dijkgraaf

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Taormina, A. New identities between unitary minimal Virasoro characters. Commun.Math. Phys. 165, 69–82 (1994). https://doi.org/10.1007/BF02099738

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