New Identities between Unitary Minimal Virasoro Characters

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.

16 pages, LaTex, DTP-93-47

References in corpus (1)

• Coset Construction and Character Sumrules for the Doubly Extended $N=4$ Superconformal Algebras

Cited by in corpus (4)

• Singular Calabi-Yau Manifolds and ADE Classification of CFTs
• Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
• Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities
• Admissible sl(2/1) Characters and Parafermions