Solutions of the Master Virasoro Equations as Conformal Points of Perturbed WZNW Model
Abstract
It is shown that the master equation of the affine-Virasoro construction on the unitary affine algebra naturally emerges in the fusion algebra of the nonunitary level k WZNW model. Operators corresponding to solutions of the master equation are suitable for performing one-parametrical renormalizable perturbation around the given conformal nonunitary WZNW model. In the large |k| limit, the infrared fixed point of the renormalization group beta function is found. There are as many infrared conformal points as 12N(N+1), where N is the total number of solutions of the master equation.
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