The anisotropic \lambda-deformed SU(2) model is integrable
High Energy Physics - Theory
2018-02-21 v4 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model. We focus on the SU(2) case and we prove that it is classically integrable by providing its Lax pair formulation. We derive its underlying symmetry current algebra and use it to show that the Poisson brackets of the spatial part of the Lax pair, assume the Maillet form. In this way we procure the corresponding r and s matrices which provide non-trivial solutions to the modified Yang-Baxter equation.
Cite
@article{arxiv.1412.5181,
title = {The anisotropic \lambda-deformed SU(2) model is integrable},
author = {Konstantinos Sfetsos and Konstantinos Siampos},
journal= {arXiv preprint arXiv:1412.5181},
year = {2018}
}
Comments
1+17 pages, Latex, v2: few minor changes, PLB version, v3: Correcting an erroneous mistake on the diagonalizability of the coupling matrix, v4: We corrected the multiplicative factor in 2.16