Consistent string backgrounds and completely integrable 2D field theories

Details Consistent string backgrounds and completely integrable 2D field theories Consistent string backgrounds and completely integrable 2D field theories

1995-08-14

arxiv.org/abs/hep-th/9508062v2

Nucl.Phys.Proc.Suppl. 45A (1996) 105-111

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, uses PHYZZX

Scientific paper

After reviewing the $\beta$-function equations for consistent string backgrounds in the $\sigma$-model approach, including metric and antisymmetric tensor, dilaton and tachyon potential, we apply this formalism to WZW models. We particularly emphasize the case where the WZW model is perturbed by an integrable marginal tachyon potential operator leading to the non-abelian Toda theories. Already in the simplest such theory, there is a large non-linear and non-local chiral algebra that extends the Virasoro algebra. This theory is shown to have two formulations, one being a classical reduction of the other. Only the non-reduced theory is shown to satisfy the $\beta$-function equations.

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