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Lens Partition Functions and Integrability Properties

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arxiv 2112.15161 v4 pith:76XWVKCJ submitted 2021-12-30 hep-th math-phmath.MPnlin.SI

Mustafa Mullahasanoglu , Nuri Tas This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SI
keywords gaugecorrespondencefunctionshyperbolichypergeometricidentitiesintegrallens
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abstract

We study lens partitions functions for the three-dimensional $ N=2$ supersymmetric gauge theories on $S_b^3/Zr$. We consider an equality as a new hyperbolic hypergeometric solution to the star-star relation via the gauge/YBE correspondence. The correspondence allows the construction of integrable lattice spin models of statistical mechanics by the use of integral identities. Additionally, we obtain new hyperbolic hypergeometric integral identities of gauge theories.

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Cited by 1 Pith paper

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  1. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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