Odd supersymmetrization of elliptic R-matrices
Mathematical Physics
2020-04-23 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We study a general ansatz for an odd supersymmetric version of the Kronecker elliptic function, which satisfies the genus one Fay identity. The obtained result is used for construction of the odd supersymmetric analogue for the classical and quantum elliptic -matrices. They are shown to satisfy the classical Yang-Baxter equation and the associative Yang-Baxter equation. The quantum Yang-Baxter is discussed as well. It acquires additional term in the case of supersymmetric -matrices.
Keywords
Cite
@article{arxiv.1910.05712,
title = {Odd supersymmetrization of elliptic R-matrices},
author = {A. Levin and M. Olshanetsky and A. Zotov},
journal= {arXiv preprint arXiv:1910.05712},
year = {2020}
}
Comments
16 pages, minor changes