English

Wilson loops: From four-dimensional SYM to two-dimensional YM

High Energy Physics - Theory 2008-11-26 v1

Abstract

In this note we study supersymmetric Wilson loops restricted to an S^2 submanifold of four-dimensional space in N=4 super Yang-Mills. We provide evidence from both perturbation theory and the AdS dual that those loops are equal to the analogous observables in two-dimensional Yang-Mills on S^2 (excluding non-perturbative contributions). This relates a subsector of N=4 SYM to a low-dimensional soluble model and also suggests that this subsector of N =4 SYM is invariant under area preserving diffeomorphisms.

Keywords

Cite

@article{arxiv.0707.2699,
  title  = {Wilson loops: From four-dimensional SYM to two-dimensional YM},
  author = {Nadav Drukker and Simone Giombi and Riccardo Ricci and Diego Trancanelli},
  journal= {arXiv preprint arXiv:0707.2699},
  year   = {2008}
}

Comments

9 pages, LaTeX

R2 v1 2026-06-21T08:59:25.365Z