Nilpotent Gauging of SL(2,R)$WZNW$ models, and Liouville Field

Details Nilpotent Gauging of SL(2,R)$WZNW$ models, and Liouville Field Nilpotent Gauging of SL(2,R)$WZNW$ models, and Liouville Field

1993-04-07

arxiv.org/abs/hep-th/9304024v2

Int. J. Mod. Phys. A10 (1995) 115

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex

Scientific paper

10.1142/S0217751X95000061

We consider the gauging of $ SL(2,R) $ WZNW model by its nilpotent subgroup E(1). The resulting space-time of the corresponding sigma model is seen to collapse to a one dimensional field theory of Liouville. Gauging the diagonal subgroup $ E(1) \times U(1) $ of $SL(2,R) \times U(1)$ theory yields an extremal three dimensional black string. We show that these solutions are obtained from the two dimensional black hole of Witten and the three dimensional black string of Horne and Horowitz by boosting the gauge group.

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