Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-24
JHEP 0212 (2002) 003
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 2 figures, uses JHEP.cls; minus sign typo corrected and 1 reference added, submitted to JHEP
Scientific paper
10.1088/1126-6708/2002/12/003
We investigate an exactly marginal N=1 supersymmetric deformation of SU(N) N=4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation of the U(N) Leigh-Strassler theory. We then show how the exact superpotential and eigenvalue spectrum for the SU(N) theory follows by a process of integrating-in. We find that different vacua are related by an action of the SL(2,Z) modular group on the bare couplings of the theory extending the action of electric-magnetic duality away from the N=4 theory. We perform non-trivial tests of the matrix model results against semiclassical field theory analysis. We also show that there are interesting points in parameter space where condensates can diverge and vacua disappear. Based on the matrix model results, we propose an exact elliptic superpotential to describe the theory compactified on a circle of finite radius.
Dorey Nick
Hollowood Timothy J.
Kumar Sreenivasa P.
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