Lens Partition Functions and Integrability Properties
Abstract
We study lens partitions functions for the three-dimensional N=2 supersymmetric gauge theories on Sb3/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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