Sine-Gordon Solitons and Black Holes

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dc.creatorGegenberg, J.
dc.creatorKunstatter, G.
dc.date1997-09-25
dc.date.accessioned2026-07-07T09:14:40Z
dc.date.available2026-07-07T09:14:40Z
dc.descriptionIn the talk, the relationship between black holes in Jackiw-Teitelboim(JT) dilaton gravity and solitons in sine-Gordon field theory is described. The well-known connection between solutions of the sine-Gordon equation and constant curvature metrics is reviewed and expanded. In particular, it is shown that solutions to the dilaton field equations for a given metric in JT theory also solve the sine-Gordon equation linearized about the corresponding soliton. Next, it is shown that from the B${\ddot a}$cklund transformations relating different soliton solutions, it is possible to construct a flat SL(2,R) connection which forms the basis for the gauge theory formulation of JT dilaton gravity. Finally, the supersymmetric generalization of sine-Gordon theory is reviewed, leading to a new approach to the problem of the origin of low dimensional black hole entropy.
dc.description11 pages, Latex, uses ccgrra.sty; to appear in Proc. 7th Canadian Conference on General Relativity and Relativistic Astrophysics
dc.identifierhttps://arxiv.org/abs/hep-th/9709183
dc.identifierhttp://arxiv.org/abs/hep-th/9709183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152752
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectExactly Solvable and Integrable Systems
dc.titleSine-Gordon Solitons and Black Holes
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