Beta-ensembles for toric orbifold partition function

Abstract

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 $\beta$.

16 pages, 2 figures; typos corrected, references added

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Cited by in corpus (7)

• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• Fractional quiver W-algebras
• Vortex counting from field theory
• Double Quiver Gauge Theory and BPS/CFT Correspondence
• Twisted reduction of quiver W-algebras
• Spinless basis for spin-singlet FQH states
• Virasoro Constraint for Uglov Matrix Model