Algebraic structure of classical integrability for complex sineGordon
Abstract
The algebraic structure underlying the classical $r$matrix formulation of the complex sineGordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=as$. They obey a modified classical reflection/YangBaxter set of equations, further deformed by nonabelian dynamical shift terms along the dual Lie algebra $su(2)^*$. The sign shift pattern of this deformation has the signature of the twisted boundary dynamical algebra. Issues related to the quantization of this algebraic structure and the formulation of quantum complex sineGordon on those lines are introduced and discussed.
 Publication:

arXiv eprints
 Pub Date:
 November 2019
 arXiv:
 arXiv:1911.06720
 Bibcode:
 2019arXiv191106720A
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics
 EPrint:
 12 pages, refs added