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arXiv · hep-th/9901130

SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form

Chiang-Mei Chen·Dmitri V. Gal'tsov·Kei-ichi Maeda·Sergei A. Sharakin
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Abstract

We give an explicit formulation of the three-dimensional $SL(4,R)/SO(2,2) σ$-model representing the five-dimensional Einstein gravity coupled to the dilaton and the three-form field for spacetimes with two commuting Killing vector fields. New matrix representation is obtained which is similar to one found earlier in the four-dimensional Einstein-Maxwell-Dilaton-Axion (EMDA) theory. The SL(4,R) symmetry joins a variety of 5D solutions of different physical types including strings, 0-branes, KK monopoles etc. interpreting them as duals to the four-dimensional Kerr metric translated along the fifth coordinate. The symmetry transformations are used to construct new rotating strings and composite 0-1-branes endowed with a NUT parameter.

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Chiang-Mei Chen, Dmitri V. Gal'tsov, Kei-ichi Maeda, Sergei A. Sharakin. 1999-05-25. SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form. https://doi.org/10.1016/s0370-2693(99)00324-x

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