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Working paper

Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

math-ph. arXiv:1910.01814. Cornell University, 2019
A. Levin, M. Olshanetsky, A. Zotov.
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.