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arXiv · 1304.5652

Localization and holography in N=2 gauge theories

Alex Buchel
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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.

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Alex Buchel. 2013-09-18. Localization and holography in N=2 gauge theories. https://doi.org/10.1007/jhep08(2013)004

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