Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
High Energy Physics - Theory
2015-05-13 v3
Abstract
We localize the four-dimensional N=4 super Yang-Mills theory on a four-sphere to the two-dimensional constrained Hitchin/Higgs-Yang-Mills (cHYM) theory on a two-sphere S^2. We show that expectation values of certain 1/8 BPS supersymmetric Wilson loops on S^2 in the 4d N=4 SYM is captured by the 2d cHYM theory. We further argue that expectation values of Wilson loops in the cHYM theory agree with the prescription "two-dimensional bosonic Yang-Mills excluding instanton contributions". Hence, we support the recent conjecture by Drukker, Giombi, Ricci and Trancanelli on the 1/8 BPS Wilson loops on S^2 in the 4d N=4 SYM.
Keywords
Cite
@article{arxiv.0906.0638,
title = {Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops},
author = {Vasily Pestun},
journal= {arXiv preprint arXiv:0906.0638},
year = {2015}
}
Comments
49 pages; v3: typos corrected