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Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories

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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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Reviews in Mathematical Physics, 2018, vol. 30, num. 7

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Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories