Is a truly marginal perturbation of the $G_k\times G_k$ WZNW model at $k=-2c_V(G)$ an exception to the rule?

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 12 pp

Scientific paper

10.1016/0370-2693(96)00564-3

It is shown that there exists a truly marginal deformation of the direct sum
of two $G_k$ WZNW models at $k=-2c_V(G)$ (where $c_V(G)$ 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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