A Bailey tree for integrals

Abstract

The notion of integral Bailey pairs is introduced. Using the single variable elliptic beta integral, we construct an infinite binary tree of identities for elliptic hypergeometric integrals. Two particular sequences of identities are explicitly described.

7 pages, to appear in Theor. Math. Phys. (Russian)

Cited by in corpus (20)

• Unit circle elliptic beta integrals
• Surface defects and elliptic quantum groups
• The star-triangle relation and 3d superconformal indices
• Vanishing superconformal indices and the chiral symmetry breaking
• Multivariate Quadratic Transformations and the Interpolation Kernel
• Quiver gauge theories and integrable lattice models
• Baxter operators with deformed symmetry
• Surface defects as transfer matrices
• Integrable lattice spin models from supersymmetric dualities
• A duality web of linear quivers
• The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals
• 3d $\mathcal{N}=2$ SO/USp adjoint SQCD: s-confinement and exact identites
• New dynamics and dualities in supersymmetric chiral gauge theories
• Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
• The rarefied elliptic Bailey lemma and the Yang-Baxter equation
• Superconformal indices, Seiberg dualities and special functions
• 4d $\mathcal{N}=1$ quiver gauge theories and the ${\mathrm{A}}_{\mathrm{n}}$ Bailey lemma
• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$
• Matrix Bailey Lemma and the Star-Triangle Relation
• The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory