Localization and holography in N=2 gauge theories
High Energy Physics - Theory
2015-06-15 v2
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.
Cite
@article{arxiv.1304.5652,
title = {Localization and holography in N=2 gauge theories},
author = {Alex Buchel},
journal= {arXiv preprint arXiv:1304.5652},
year = {2015}
}
Comments
23 pages, 3 figures; v2: references and a note added