Logarithmic potential \(\beta \)-ensembles and Feynman graphs

DOI10.1134/S008154381101007XzbMath1227.81233arXiv1009.5940MaRDI QIDQ641903

Leonid O. Chekhov

Publication date: 25 October 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5940

Mathematics Subject Classification ID

Feynman diagrams (81T18) Topological field theories in quantum mechanics (81T45)

Related Items

Genus one correction to Seiberg-Witten prepotential from \(\beta\)-deformed matrix model ⋮ Irregular conformal block, spectral curve and flow equations ⋮ Explicit examples of DIM constraints for network matrix models ⋮ Deformed planar topological open string amplitudes on Seiberg-Witten curve ⋮ Quantum curves from refined topological recursion: the genus 0 case ⋮ A direct proof of AGT conjecture at {\(\beta\)} = 1 ⋮ Generalized matrix models and AGT correspondence at all genera ⋮ Irregular conformal states and spectral curve: irregular matrix model approach ⋮ Loop equation analysis of the circular \(\beta\) ensembles ⋮ Large \(N\) limit of \(\beta\)-ensembles and deformed Seiberg-Witten relations ⋮ \(\beta\)-deformed matrix model and Nekrasov partition function

Cites Work

• Penner type matrix model and Seiberg-Witten theory
• Hermitian matrix model free energy: Feynman graph technique for all genera
• Matrix eigenvalue model: Feynman graph technique for all genera
• Genus-one correction to multicut matrix model solutions
• Liouville correlation functions from four-dimensional gauge theories