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2013

Localization and holography in N=2 gauge theories

Buchel, Alex

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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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A. Buchel, J. G. Russo and K. Zarembo, JHEP 1303

2013

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