The rarefied elliptic Bailey lemma and the Yang-Baxter equation

Abstract

An elliptic Bailey lemma is formulated on the basis of the univariate rarefied elliptic beta integral. It leads to a generalized operator star-triangle relation and a new solution of the Yang-Baxter equation written as an integral operator with a rarefied elliptic hypergeometric kernel.

arXiv comment15 pp, published version

References in corpus (7)

• The supersymmetric index in four dimensions
• Exact solution of the Faddeev-Volkov model
• A Bailey tree for integrals
• The star-triangle relation, lens partition function, and hypergeometric sum/integrals
• Yang-Baxter equation, parameter permutations, and the elliptic beta integral
• Elliptic hypergeometric sum/integral transformations and supersymmetric lens index
• New elliptic solutions of the Yang-Baxter equation

Cited by in corpus (3)

• Complex hypergeometric functions and integrable many-body problems
• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$
• Quasi-classical expansion of a hyperbolic solution to the star-star relation and multicomponent 5-point difference equations