### Abstract

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 q →exp(2Πi/k) of the q-deformed partition function plays a crucial role in the orbifold projection while the limit q → 1 applies to R4. 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.

Original language | English |
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Article number | 15 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2011 Jan 1 |

### Keywords

- M(atrix) Theories
- Matrix Models
- Supersymmetric gauge theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Kimura, T. (2011). Matrix model from N = 2 orbifold partition function.

*Journal of High Energy Physics*,*2011*(9), [15]. https://doi.org/10.1007/JHEP09(2011)015