Lens Partition Functions and Integrability Properties

2021/12/30 by Mullahasanoglu, Mustafa, Tas, Nuri · 3 citations
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2112.15161

Abstract

We study lens partitions functions for the three-dimensional N=2 supersymmetric gauge theories on S_b³/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.

Cited by

• From dual gauge theories to dual spin models
• More solutions to the decoration transformation
• Flipping relation as a reduced star-star relation

Related

• Decorating the gauge/YBE correspondence
• Ordinary limits of the hyperbolic hypergeometric integral identities
• Notes on the lens integral pentagon identity
• The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
• More solutions to the decoration transformation