Gauging SL\((2,\mathbb{R})\) and SL(\(2,\mathbb{R})\times\text{U}(1)\) by their nilpotent subgroups

DOI10.1142/S0217751X95000061zbMATH Open0985.81724arXivhep-th/9304024MaRDI QIDQ2775333

Mahdi Alimohammadi, F. Ardalan, H. Arfaei

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: 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 $E(1)imesU(1)$ of $SL(2,R)imesU(1)$ 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9304024

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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