Is a truly marginal perturbation of the Gk× Gk WZNW model at k=-2cV(G) an exception to the rule?
Abstract
It is shown that there exists a truly marginal deformation of the direct sum of two Gk WZNW models at k=-2cV(G) (where cV(G) is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group G) which does not seem to fit the Chaudhuri-Schwartz criterion for truly marginal perturbations. In addition, a continuous family of WZNW models is constructed.
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