An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory
High Energy Physics - Theory
2009-10-31 v2
Abstract
An exact superpotential is derived for the N=1 theories which arise as massive deformations of N=4 supersymmetric Yang-Mills (SYM) theory. The superpotential of the SU(N) theory formulated on R^{3}\times S^{1} is shown to coincide with the complexified potential of the N-body elliptic Calogero-Moser Hamiltonian. This superpotential reproduces the vacuum structure predicted by Donagi and Witten for the corresponding four-dimensional theory and also transforms covariantly under the S-duality group of N=4 SYM. The analysis yields exact formulae with interesting modular properties for the condensates of gauge-invariant chiral operators in the four-dimensional theory.
Cite
@article{arxiv.hep-th/9906011,
title = {An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory},
author = {N. Dorey},
journal= {arXiv preprint arXiv:hep-th/9906011},
year = {2009}
}
Comments
34 pages, LaTeX. Minor corrections and an additional reference