Pentagon identities arising in supersymmetric gauge theory computations
作者： Ilmar Gahramanov , Deniz N. Bozkurt
DOI: 10.1134/S0040577919020028
关键词:
摘要: The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. By comparing the mirror dual theories, one finds complicated integral identities. In some cases, these identities written in form pentagon relations. Such often have an interpretation Pachner's 3-2 move for triangulated via so-called 3d-3d correspondence. From physics perspective, another important application is that they may used to construct new solutions quantum Yang-Baxter equation.
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