Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations
Mathematical Physics
2020-10-08 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We introduce an odd supersymmetric version of the Kronecker elliptic function. It satisfies the genus one Fay identity and supersymmetric version of the heat equation. As an application we construct an odd supersymmetric extensions of the elliptic -matrices, which satisfy the classical and the associative Yang-Baxter equations.
Cite
@article{arxiv.1910.01814,
title = {Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations},
author = {A. Levin and M. Olshanetsky and A. Zotov},
journal= {arXiv preprint arXiv:1910.01814},
year = {2020}
}
Comments
11 pages, minor changes