Penner Type Ensemble for Gauge Theories Revisited

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.

arXiv comment6 pages

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Cited by in corpus (3)

• A slow review of the AGT correspondence
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model