N=2 Super Yang-Mills in AdS₄ and F_AdS-maximization

2025/06/05 by Bason, Davide, Copetti, Christian, Di Pietro, Lorenzo +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2506.05162

Abstract

We investigate the dynamics of four-dimensional N=2 SU(2) super Yang--Mills theory on an AdS background. We propose that the boundary conditions that preserve the AdS super-isometries are determined by maximizing the real part of the AdS partition function F_AdS=-log Z_AdS. At weak coupling ΛL ≪ 1 the maximization singles out the Dirichlet boundary condition with an SU(2) boundary global symmetry, corresponding to the classical vacuum at the origin of the Coulomb branch with fully un-higgsed gauge group. We find that for ΛL ∼ O(1) new boundary conditions are favored, with gauge-group higgsed down to U(1), matching the expectation from the flat space limit. We use supersymmetric localization to compute Z_AdS nonperturbatively. We further provide evidence for a relation between F_AdS and the N=2 prepotential in AdS background.

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