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Solutions of the Master Virasoro Equations as Conformal Points of Perturbed WZNW Model

O. A. Soloviev
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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 $\frac{1}{2}N(N+1)$, where $N$ is the total number of solutions of the master equation.

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O. A. Soloviev. 1994-08-05. Solutions of the Master Virasoro Equations as Conformal Points of Perturbed WZNW Model. https://arxiv.org/abs/hep-th/9408034

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