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The star-triangle relation and 3d superconformal indices
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Superconformal indices of 3d N=2 supersymmetric field theories are investigated from the Yang-Baxter equation point of view. Solutions of the star-triangle relation, vertex and IRF Yang-Baxter equations are expressed in terms of the q-special functions associated with these 3d indices. For a two-dimensional monopole-spin system on the square lattice a free energy per spin is explicitly determined. Similar to the partition functions, superconformal indices of 3d theories with the chiral symmetry breaking reduce to Dirac delta functions with the support on chemical potentials of the preserved flavor groups.
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Cited by 1 Pith paper
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Flipping relation as a reduced star-star relation
A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.
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