Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

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

arXiv comment11 pages, minor changes

References in corpus (4)

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• Quantum Baxter-Belavin R-matrices and multidimensional Lax pairs for Painleve VI
• Super Elliptic Curves
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