Partition Functions of Reduced Matrix Models with Classical Gauge Groups

Details Partition Functions of Reduced Matrix Models with Classical Gauge Groups Partition Functions of Reduced Matrix Models with Classical Gauge Groups

2006-09-09

arxiv.org/abs/hep-th/0609063v2

Nucl.Phys.B762:285-300,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 6 figures, typos corrected, more comments included, to appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2006.11.001

We evaluate partition functions of matrix models which are given by topologically twisted and dimensionally reduced actions of d=4 N=1 super Yang-Mills theories with classical (semi-)simple gauge groups, SO(2N), SO(2N+1) and USp(2N). The integrals reduce to those over the maximal tori by semi-classical approximation which is exact in reduced models. We carry out residue calculus by developing a diagrammatic method, in which the action of the Weyl groups and therefore counting of multiplicities are explained obviously.

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