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

Abstract

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.

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

References in corpus (4)

• Lectures on Supergravity p-branes
• Generating branes via sigma-models
• Matrix Ernst potentials for EMDA with multiple vector fields
• BPS Solutions in D=5 Dilaton-Axion Gravity

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