Sine-Gordon Solitons and Black Holes
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 Bcklund 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.
Keywords
Cite
@article{arxiv.hep-th/9709183,
title = {Sine-Gordon Solitons and Black Holes},
author = {J. Gegenberg and G. Kunstatter},
journal= {arXiv preprint arXiv:hep-th/9709183},
year = {2008}
}
Comments
11 pages, Latex, uses ccgrra.sty; to appear in Proc. 7th Canadian Conference on General Relativity and Relativistic Astrophysics