Flipping relation as a reduced star-star relation
Abstract
In this paper, we consider the lens hyperbolic gamma solution to the star-star relation and the flipping relation from three-dimensional N=2 supersymmetric gauge theories on S3b/Zr. We explore that a certain limit of the star-star relation yields the latter symmetry transformation, which exchanges the edge interactions of two outer spins with a centrally sited spin. Furthermore, we obtain more solutions to the flipping relation in terms of the hyperbolic gamma, basic hypergeometric, and the Euler gamma functions.
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