Matrix model from N = 2 orbifold partition function

Details Matrix model from N = 2 orbifold partition function Matrix model from N = 2 orbifold partition function

2011-05-30

arxiv.org/abs/1105.6091v2

JHEP 1109:015,2011

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 4 figures; revised version

Scientific paper

10.1007/JHEP09(2011)015

The orbifold generalization of the partition function, which would describe the gauge theory on the ALE space, is investigated from the combinatorial perspective. It is shown that the root of unity limit of the q-deformed partition function plays a crucial role on the orbifold projection. Then starting from the combinatorial representation of the partition function, a new type of multi-matrix model is derived by considering its asymptotic behavior. It is also shown that Seiberg-Witten curve for the corresponding gauge theory arises from the spectral curve of this multi-matrix model.

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