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

Physics – High Energy Physics – High Energy Physics - Theory

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15 pages, plain TeX, 4 typos corrected

Scientific paper

10.1016/0370-2693(95)00334-H

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.

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