Steps towards Lattice Virasoro Algebras: su(1,1)

Abstract

An explicit construction is presented for the action of the su(1,1) subalgebra of the Virasoro algebra on path spaces for the c(2,q) minimal models. In the case of the Lee-Yang edge singularity, we show how this action already fixes the central charge of the full Virasoro algebra. For this case, we additionally construct a representation in terms of generators of the corresponding Temperley-Lieb algebra.

15 pages, plain TeX, 4 typos corrected

References in corpus (15)

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Cited by in corpus (3)

• Critical RSOS and Minimal Models I: Paths, Fermionic Algebras and Virasoro Modules
• Critical RSOS and Minimal Models II: Building Representations of the Virasoro Algebra and Fields
• Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal models