Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New elliptic solutions of the Yang-Baxter equation   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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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th