β-ensembles for toric orbifold partition function

Taro Kimura

doi:10.1143/PTP.127.271

β-ensembles for toric orbifold partition function

Taro Kimura

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 β.

Original language	English
Pages (from-to)	271-285
Number of pages	15
Journal	Progress of Theoretical Physics
Volume	127
Issue number	2
DOIs	https://doi.org/10.1143/PTP.127.271
Publication status	Published - 2012 Feb

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1143/PTP.127.271

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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 β.",

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AB - 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.

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β-ensembles for toric orbifold partition function

Abstract

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