Lens Partition Functions and Integrability Properties

Mustafa Mullahasanoglu; Nuri Tas

Lens Partition Functions and Integrability Properties

High Energy Physics - Theory 2023-01-04 v4 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Authors: Mustafa Mullahasanoglu , Nuri Tas

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.

Keywords

special functions integrable systems supersymmetry

Cite

@article{arxiv.2112.15161,
  title  = {Lens Partition Functions and Integrability Properties},
  author = {Mustafa Mullahasanoglu and Nuri Tas},
  journal= {arXiv preprint arXiv:2112.15161},
  year   = {2023}
}

Comments

minor corrections and references added

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