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Published 2023 | Version v1
Journal article

Bailey pairs for the q-hypergeometric integral pentagon identity

  • 1. Department of Mathematics, Khazar University, Mehseti St. 41, AZ1096, Baku (Azerbaijan)
  • 2. Institute of Radiation Problems, Azerbaijan National Academy of Sciences, B.Vahabzade St. 9, AZ1143, Baku (Azerbaijan)
  • 3. Department of Physics, Bogazici University, Bebek, 34342, Istanbul (Turkey)

Description

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

Additional details

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
83
Journal Issue
11
Journal Page Range
vp.
ISSN
1434-6052
CODEN
EPCFFB

INIS

Optional Information

Notes
AID: 1007