Jumps and twists in affine Toda field theories
High Energy Physics - Theory
2015-02-17 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The concept of point-like "jump" defects is investigated in the context of affine Toda field theories. The Hamiltonian formulation is employed for the analysis of the problem. The issue is also addressed when integrable boundary conditions ruled by the classical twisted Yangian are present. In both periodic and boundary cases explicit expressions of conserved quantities as well as the relevant Lax pairs and sewing conditions are extracted. It is also observed that in the case of the twisted Yangian the bulk behavior is not affected by the presence of the boundaries.
Keywords
Cite
@article{arxiv.1407.7777,
title = {Jumps and twists in affine Toda field theories},
author = {Anastasia Doikou},
journal= {arXiv preprint arXiv:1407.7777},
year = {2015}
}
Comments
19 pages, Latex. A few comments added. Version to appear in NPB. arXiv admin note: text overlap with arXiv:1404.7329