Localization and holography in N=2 gauge theories

Abstract

We compare exact results from Pestun's localization of SU(N) N=2^* gauge theory on S^4 with available holographic models. While localization can explain the Coulomb branch vacuum of the holographic Pilch-Warner flow, it disagrees with the holographic Gauntlett et.al vacuum of N=2 super Yang-Mills theory. We further compute the free energy of the Pilch-Warner flow on S^4 and show that it disagrees with the localization result both for a finite S^4 radius, and in the S^4 decompactification limit. Thus, neither model represents holographic dual of supersymmetric S^4 localization of Pestun.

23 pages, 3 figures; v2: references and a note added

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• A Precision Test of AdS/CFT with Flavor
• de Sitter Vacua of Strongly Interacting QFT
• Entanglement entropy of $\mathcal{N}=2^{\ast }$ de Sitter vacuum
• Non-perturbative studies of N=2 conformal quiver gauge theories
• On consistent truncations in $\mathcal{N}=2^{\ast }$ holography
• Black hole spectra in holography: consequences for equilibration of dual gauge theories