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New elliptic solutions of the Yang-Baxte...
Chicherin, D....

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New elliptic solutions of the Yang-Baxter equation by Chicherin, D. ( Author )
Lemonjar Open Access
N.A
10-12-2014
We consider finite-dimensional reductions of an integral operator with the elliptic hypergeometric kernel describing the most general known solution of the Yang-Baxter equation with a rank 1 symmetry algebra. The reduced R-operators reproduce at their bottom the standard Baxter's R-matrix for the 8-vertex model and Sklyanin's L-operator. The general formula has a remarkably compact form and yields new elliptic solutions of the Yang-Baxter equation based on the finite-dimensional representations of the elliptic modular double. The same result is also derived using the fusion formalism.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1412.3383
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