Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories

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 s...

ver descrição completa

Detalhes bibliográficos
Autores: Russo, J. G. (Jorge Guillermo), Zarembo, Konstantin
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/145713
Acesso em linha:https://hdl.handle.net/2445/145713
Access Level:acceso abierto
Palavra-chave:Simetria (Física)
Teoria de camps (Física)
Symmetry (Physics)
Field theory (Physics)
Descrição
Resumo: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.