Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-09-10
JHEP 0211:039,2002
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 1 figure, latex with JHEP.cls, replaced with typos corrected and one clarifying comment
Scientific paper
10.1088/1126-6708/2002/11/039
Dijkgraaf and Vafa (DV) have conjectured that the exact superpotential for a large class of N=1 SUSY gauge theories can be extracted from the planar limit of a certain holomorphic matrix integral. We test their proposal against existing knowledge for a family of deformations of N=4 SUSY Yang-Mills theory involving an arbitrary polynomial superpotential for one of the three adjoint chiral superfields. Specifically, we compare the DV prediction for these models with earlier results based on the connection between SUSY gauge theories and integrable systems. We find complete agreement between the two approaches. In particular we show how the DV proposal allows the extraction of the exact eigenvalues of the adjoint scalar in the confining vacuum and hence computes all related condensates of the finite-N gauge theory. We extend these results to include Leigh-Strassler deformations of the N=4 theory.
Dorey Nick
Hollowood Timothy J.
Kumar Sreenivasa P.
Sinkovics Annamaria
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