Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 53, Issue 18, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab7e53
Keywords
elliptic R-matrix; Yang-Baxter equations; supersymmetric elliptic curve
Categories
Funding
- RFBR [18-02-01081, 18-01-00273, 19-51-18006]
- Laboratory of Mirror Symmetry NRU HSE, RF Government Grant [14.641.31.0001]
- Young Russian Mathematics award
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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 supersymmetric analogue for the classical and quantum elliptic R-matrices. They are shown to satisfy the classical Yang-Baxter equation and the associative Yang-Baxter equation. The quantum Yang-Baxter equation is discussed as well. It acquires additional term in the case of supersymmetric R-matrices.
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