https://doi.org/10.1140/epjc/s10052-023-12086-6
Regular Article - Theoretical Physics
Bailey pairs for the q-hypergeometric integral pentagon identity
1
Department of Physics, Bogazici University, Bebek, 34342, Istanbul, Turkey
2
Institute of Radiation Problems, Azerbaijan National Academy of Sciences, B.Vahabzade St. 9, AZ1143, Baku, Azerbaijan
3
Department of Mathematics, Khazar University, Mehseti St. 41, AZ1096, Baku, Azerbaijan
a
ilmar.gahramanov@boun.edu.tr
Received:
18
June
2023
Accepted:
27
September
2023
Published online:
7
November
2023
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.
© The Author(s) 2023
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