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arXiv · hep-th/9309074

New Identities between Unitary Minimal Virasoro Characters

Anne Taormina
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Abstract

Two sets of identities between unitary minimal Virasoro characters at levels $m=3,4,5$ are presented and proven. The first identity suggests a connection between the Ising and tricritical Ising models since the $m=3$ Virasoro characters are obtained as bilinears of $m=4$ Virasoro characters. The second identity gives the tricritical Ising model characters as bilinears in the Ising model characters and the six combinations of $m=5$ 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 of $N=4$ superconformal characters into $\widehat{SU(2)} \times \widehat{SU(2)}$ characters is discussed.

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Anne Taormina. 1993-09-13. New Identities between Unitary Minimal Virasoro Characters. https://doi.org/10.1007/bf02099738

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