Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators

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dc.creatorBernard, D.
dc.creatorJulia, B.
dc.date1997-12-30
dc.date.accessioned2026-07-07T11:36:10Z
dc.date.available2026-07-07T11:36:10Z
dc.descriptionThe Geroch group, isomorphic to the SL(2,R) affine Kac-Moody group, is an infinite dimensional solution generating group of Einstein's equations with two surface orthogonal commuting Killing vectors. We introduce another solution generating group for these equations, the dressing group, and discuss its connection with the Geroch group. We show that it acts transitively on a dense subset of moduli space. We use a new Lax pair expressing a twisted self-duality of this system and we study the dressing problem associated to it. We also describe how to use vertex operators to solve the reduced Einstein's equations. In particular this allows to find solutions by purely algebraic computations.
dc.description33 pages, LaTeX, Bonne Année
dc.identifierhttps://arxiv.org/abs/hep-th/9712254
dc.identifierhttp://arxiv.org/abs/hep-th/9712254
dc.identifierNucl.Phys.B547:427-470,1999
dc.identifierdoi:10.1016/S0550-3213(99)00093-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198833
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectExactly Solvable and Integrable Systems
dc.titleTwisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators
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