The Coulomb branch of the Leigh-Strassler deformation and matrix models

Details The Coulomb branch of the Leigh-Strassler deformation and matrix models The Coulomb branch of the Leigh-Strassler deformation and matrix models

2004-11-04

arxiv.org/abs/hep-th/0411057v1

JHEP0412:068,2004

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures, latex

Scientific paper

10.1088/1126-6708/2004/12/068

The Dijkgraaf-Vafa approach is used in order to study the Coulomb branch of the Leigh-Strassler massive deformation of N=4 SYM with gauge group U(N). The theory has N=1 SUSY and an N-dimensional Coulomb branch of vacua, which can be described by a family of ``generalized'' Seiberg-Witten curves. The matrix model analysis is performed by adding a tree level potential that selects particular vacua. The family of curves is found: it consists of order N branched coverings of a base torus, and it is described by multi-valued functions on the latter. The relation between the potential and the vacuum is made explicit. The gauge group SU(N) is also considered. Finally the resolvents from which expectation values of chiral operators can be extracted are presented.

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