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Partition Functions of Reduced Matrix Models with Classical Gauge Groups

H. Itoyama·H. Kihara·R. Yoshioka
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Abstract

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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H. Itoyama, H. Kihara, R. Yoshioka. 2006-11-04. Partition Functions of Reduced Matrix Models with Classical Gauge Groups. https://doi.org/10.1016/j.nuclphysb.2006.11.001

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