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Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations

Journal of Mathematical Physics. 2020. Vol. 61. P. 103504.
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 odd supersymmetric extensions of the elliptic R-matrices, which satisfy the classical and the associative Yang–Baxter equations.

 

Research target: Mathematics
Language: English
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Keywords: elliptic functions
Publication based on the results of:
Developing methods of Representation Theory, Vertex Algebras and Geometry and Topology of Moduli spaces with applications to Combinatorics and Mathematical Physics (2020)
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