# β-Ensembles for Toric Orbifold Partition Function

@article{Kimura2011EnsemblesFT, title={$\beta$-Ensembles for Toric Orbifold Partition Function}, author={Taro Kimura}, journal={Progress of Theoretical Physics}, year={2011}, volume={127}, pages={271-285} }

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 β. Subject Index: 135, 183

## 12 Citations

### Virasoro constraint for Uglov matrix model

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Abstract
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### Gauge Theory, Combinatorics, and Matrix Models

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### Quiver Gauge Theory

- PhysicsInstanton Counting, Quantum Geometry and Algebra
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Together with a set of edges (arrows) \(\Gamma _1\), we define a quiver \(\Gamma = (\Gamma _0, \Gamma _1)\). For each edge \(e:i \rightarrow j\), in 4d \(\mathcal {N} = 1\) gauge theory (4 SUSY)…

### Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity

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