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Comments on flavor symmetry breaking and three-dimensional superconformal index

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arxiv 2303.00482 v1 pith:4JRLTNYX submitted 2023-03-01 hep-th math-phmath.MPnlin.SI

classification hep-thmath-phmath.MPnlin.SI
keywords flavorindextheorysuperconformalbreakingflavorsfugacitiessymmetry
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abstract

We investigate the superconformal index of a three-dimensional $SU(2)$ ${\mathcal N}=2$ supersymmetric QCD with $N_f=4$ flavors. This theory confines with the breaking of a global symmetry. We obtain the index of this theory by integrating out a flavor from the theory with $N_f=6$ flavors. The superconformal index of the theory vanishes for generic values of the flavor fugacities. However, the specific choice of fugacities allows us to describe the flavor symmetry-breaking phenomenon.

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Cited by 1 Pith paper

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  1. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    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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