Pentagon identities arising in supersymmetric gauge theory computations

Autor:	Bozkurt, Deniz N., Gahramanov, Ilmar
Rok vydání:	2018
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Quantum Algebra 33D60 33D67 33D70 57M27
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577919020028
Popis:	The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. By comparing the partition functions of three-dimensional mirror dual theories, one finds complicated integral identities. In some cases, these identities can be written in the form of pentagon relations. Such identities often have an interpretation as the Pachner's 3-2 move for triangulated manifolds via the so-called 3d-3d correspondence. From the physics perspective, another important application of pentagon identities is that they may be used to construct new solutions to the quantum Yang-Baxter equation. Comment: 10 pp
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.00855 Zobrazit plný text záznamu View this record from Arxiv