N=1 super sinh-Gordon model in the half line: Breather solutions
High Energy Physics - Theory
2013-05-01 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We examine the N=1 super sinh-Gordon (SShG) model restricted into the half line through a reduction from the defect SShG model. The B\"acklund transformations are employed to generate one-, two- and three-soliton solutions as well as a class of breathers solution for this model. The parameters of such classical solutions are shown to satisfy some contraints in order to preserve both integrability and supersymmetry properties of the original bulk theory. Additionally, previous results are recovered when performing the purely bosonic limit.
Keywords
Cite
@article{arxiv.1304.4582,
title = {N=1 super sinh-Gordon model in the half line: Breather solutions},
author = {A. R. Aguirre and J. F. Gomes and L. H. Ymai and A. H. Zimerman},
journal= {arXiv preprint arXiv:1304.4582},
year = {2013}
}
Comments
24 pages, accepted for publication in JHEP