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Penner Type Ensemble for Gauge Theories Revisited

High Energy Physics - Theory 2013-03-14 v1

Abstract

The Penner type beta-ensemble for Omega-deformed N=2 SU(2) gauge theory with two massless flavors arising as a limiting case from the AGT conjecture is considered. The partition function can be calculated perturbatively in a saddle-point approximation. A large N limit reproduces the gauge theory partition function expanded in a strong coupling regime, for any beta and beyond tree-level, confirming previous results obtained via special geometry and the holomorphic anomaly equation. The leading terms and gap of the gauge theory free energy at the monopole/dyon point follow as a corollary.

Keywords

Cite

@article{arxiv.1209.6009,
  title  = {Penner Type Ensemble for Gauge Theories Revisited},
  author = {Daniel Krefl},
  journal= {arXiv preprint arXiv:1209.6009},
  year   = {2013}
}

Comments

6 pages

R2 v1 2026-06-21T22:11:42.288Z