Supersymmetric Wilson loops on S^3
Abstract
This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS_4 x S^2. We then discuss loops restricted to S^2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.
Cite
@article{arxiv.0711.3226,
title = {Supersymmetric Wilson loops on S^3},
author = {Nadav Drukker and Simone Giombi and Riccardo Ricci and Diego Trancanelli},
journal= {arXiv preprint arXiv:0711.3226},
year = {2008}
}
Comments
Latex, 84 pages, 4 figures. v2: minor changes, references added; to appear in JHEP