Mass deforming an N=2 superconformal theory with two different masses produces a third-order phase transition at finite 't Hooft coupling.
N = 2* Phase Transitions and Holography
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abstract
We clarify the relationship between probe analysis of the supergravity dual and the large-N solution of the localization matrix model for the planar N = 2* super-Yang-Mills theory. A formalism inspired by supergravity allows us to systematically solve the matrix model at strong coupling. Quite surprisingly, we find that quantum phase transitions, known to occur in the N = 2* theory, start to be visible at the third order of the strong-coupling expansion and thus constitute a perturbative phenomenon on the string worldsheet.
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More on phase transitions in ${\cal N}$ = 2 massive gauge theories
Mass deforming an N=2 superconformal theory with two different masses produces a third-order phase transition at finite 't Hooft coupling.