Integrable systems in stringy gravity
Oct, 19948 pages
Published in:
- Phys.Rev.Lett. 74 (1995) 2863-2866
e-Print:
- hep-th/9410217 [hep-th]
Report number:
- MSU-DTP-94-21
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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.- general relativity
- gauge field theory: U(1)
- field theory: dilaton
- field equations: solution
- symmetry: axial
- string model
- integrability
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