Beta-ensembles for toric orbifold partition function

Details Beta-ensembles for toric orbifold partition function Beta-ensembles for toric orbifold partition function

2011-08-31

arxiv.org/abs/1109.0004v2

Prog. Theor. Phys. 127 (2012), 271-285

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 2 figures; typos corrected, references added

Scientific paper

10.1143/PTP.127.271

We investigate combinatorics of the instanton partition function for the
generic four dimensional toric orbifolds. It is shown that the orbifold
projection can be implemented by taking the inhomogeneous root of unity limit
of the q-deformed partition function. The asymptotics of the combinatorial
partition function yields the multi-matrix model for a generic $\beta$.

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