Matrix model from N = 2 orbifold partition function

Taro Kimura

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish
Article number15
JournalJournal of High Energy Physics
Volume2011
Issue number9
DOIs
Publication statusPublished - 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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