An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory

Details An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory

1999-06-02

arxiv.org/abs/hep-th/9906011v2

JHEP 9907 (1999) 021

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, LaTeX. Minor corrections and an additional reference

Scientific paper

10.1088/1126-6708/1999/07/021

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.

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