Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations

@article{Levin2019OddSK,
  title={Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations},
  author={Andrei Mikhailovich Levin and Mikhail Aronovich Olshanetsky and A. Zotov},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
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. 
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Odd supersymmetrization of elliptic R-matrices

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…

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