Integrable Systems in Stringy Gravity

Details Integrable Systems in Stringy Gravity Integrable Systems in Stringy Gravity

1994-10-28

arxiv.org/abs/hep-th/9410217v1

Phys.Rev.Lett.74:2863-2866,1995

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LATEX, MSU-DTP-94/21, October 94

Scientific paper

10.1103/PhysRevLett.74.2863

Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof is based on the coset-space representation of the 4-dim theory in a space-time admitting a Killing vector field. Hidden symmetry group of the four-dimensional EMDA theory, unifying T and S string dualities, is shown to be Sp(2, R) acting transitively on the coset Sp(2, R)/U(2). In the case of two-parameter Abelian space-time isometry group, the hidden symmetry is the corresponding infinite-dimensional group of the Geroch-Kinnersley-Chitre type.

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