The sine-Gordon model with integrable defects revisited
High Energy Physics - Theory
2012-11-13 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditions on the defect point consistent with Liouville integrability.
Keywords
Cite
@article{arxiv.1205.1661,
title = {The sine-Gordon model with integrable defects revisited},
author = {Jean Avan and Anastasia Doikou},
journal= {arXiv preprint arXiv:1205.1661},
year = {2012}
}
Comments
24 pages Latex. Minor modifications, added comments