Integrable Systems in Stringy Gravity

Preprint

28 October 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9410217

Abstract

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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All Related Versions

Version 1, 1994-10-28, ArXiv
Published version: Physical Review Letters, 74 (15), 2863.

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