English

Bailey pairs for the q-hypergeometric integral pentagon identity

Mathematical Physics 2022-01-12 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Abstract

In this work, we construct a new Bailey pairs for the integral pentagon identity in terms of q-hypergeometric functions. The pentagon identity considered here represents equality of the partition functions of a certain three-dimensional supersymmetric dual theories. It can be also interpreted as the star-triangle relation for the Ising-type integrable lattice model.

Cite

@article{arxiv.2111.14793,
  title  = {Bailey pairs for the q-hypergeometric integral pentagon identity},
  author = {Ilmar Gahramanov and Osman Erkan Kaluc},
  journal= {arXiv preprint arXiv:2111.14793},
  year   = {2022}
}

Comments

8 pages

R2 v1 2026-06-24T07:56:18.581Z