Supersymmetric Wilson loops at two loops
Abstract
We study the quantum properties of certain BPS Wilson loops in supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on with a fraction of supersymmetry. When restricted to , their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.
Cite
@article{arxiv.0804.3973,
title = {Supersymmetric Wilson loops at two loops},
author = {Antonio Bassetto and Luca Griguolo and Fabrizio Pucci and Domenico Seminara},
journal= {arXiv preprint arXiv:0804.3973},
year = {2014}
}
Comments
35 pages, 14 figures, typos corrected, references added