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Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories

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arxiv 1712.07186 v1 pith:KDJP2GIA submitted 2017-12-19 hep-th

classification hep-th
keywords phasetransitionswilsonantisymmetricloopsmassrepresentationssqcd
verification ladder T0 review T1 audit T2 compute T3 formal
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Large-N phase transitions occurring in massive N=2 theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and exhibits second-order phase transitions (discontinuities in the second derivatives) as the size of representation varies. We illustrate the general features of antisymmetric Wilson loops on a number of examples where the phase transitions are known to occur: N=2 SQCD with various mass arrangements and N=2* theory. As a byproduct we solve planar N=2 SQCD with three independent mass parameters. This model has two effective mass scales and undergoes two phase transitions.

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  1. More on phase transitions in ${\cal N}$ = 2 massive gauge theories

    hep-th 2025-07 accept novelty 7.0 of 10

    Mass deforming an N=2 superconformal theory with two different masses produces a third-order phase transition at finite 't Hooft coupling.

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