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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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RUSSO, J. g. (jorge guillermo), ZAREMBO, Konstantin. Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories. _Reviews in Mathematical Physics_. 2018. Vol. 30, núm. 7. [consulta: 27 de febrer de 2026]. ISSN: 0129-055X. [Disponible a: https://hdl.handle.net/2445/145713]