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

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

1999-01-26

arxiv.org/abs/hep-th/9901130v2

Phys.Lett. B453 (1999) 7-16

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 8pp. Revised version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00324-X

We give an explicit formulation of the three-dimensional $SL(4,R)/SO(2,2) \sigma$-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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