English

Beta-ensembles for toric orbifold partition function

High Energy Physics - Theory 2012-03-03 v2

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\beta.

Keywords

Cite

@article{arxiv.1109.0004,
  title  = {Beta-ensembles for toric orbifold partition function},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:1109.0004},
  year   = {2012}
}

Comments

16 pages, 2 figures; typos corrected, references added

R2 v1 2026-06-21T18:58:00.954Z