Integrable Systems in Stringy Gravity
High Energy Physics - Theory
2010-11-01 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9410217,
title = {Integrable Systems in Stringy Gravity},
author = {D. V. Gal'tsov},
journal= {arXiv preprint arXiv:hep-th/9410217},
year = {2010}
}
Comments
8 pages, LATEX, MSU-DTP-94/21, October 94