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Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2020-10-01 , DOI: 10.1063/5.0006294
A. Levin 1, 2 , M. Olshanetsky 2, 3, 4 , A. Zotov 1, 2, 4, 5
Affiliation  

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 $R$-matrices, which satisfy the classical and the associative Yang-Baxter equations.

中文翻译:

奇数超对称 Kronecker 椭圆函数和 Yang-Baxter 方程

我们引入了 Kronecker 椭圆函数的奇数超对称版本。它满足热方程的第一类 Fay 恒等式和超对称版本。作为一个应用,我们构造了椭圆 $R$-矩阵的奇超对称扩展,它满足经典的和结合的 Yang-Baxter 方程。
更新日期:2020-10-01
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