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arXiv · hep-th/9709183

Sine-Gordon Solitons and Black Holes

J. Gegenberg·G. Kunstatter
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Abstract

In 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.

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J. Gegenberg, G. Kunstatter. 1997-09-25. Sine-Gordon Solitons and Black Holes. https://arxiv.org/abs/hep-th/9709183

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