Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model

DOI10.1007/JHEP03(2012)098zbMath1309.81199arXiv1106.0332OpenAlexW3099541776WikidataQ104556672 ScholiaQ104556672MaRDI QIDQ2340695

Olivier Marchal, Bertrand Eynard, A. Prats Ferrer, Michel Bergère

Publication date: 20 April 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0332

zbMATH Keywords

non-commutative geometrymatrix modelstopological stringsdifferential and algebraic geometry

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Topological field theories in quantum mechanics (81T45) Relationships between algebraic curves and physics (14H81)

Related Items

Selberg integrals, super-hypergeometric functions and applications to β-ensembles of random matrices ⋮ Moments of the Gaussian β ensembles and the large-N expansion of the densities ⋮ Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles ⋮ \(W\)-representations of two-matrix models with infinite set of variables ⋮ Asymptotics for products of characteristic polynomials in classical \(\beta\)-ensembles ⋮ Quantization of Calogero-Painlevé system and multi-particle quantum Painlevé equations II-VI ⋮ Loop equation analysis of the circular \(\beta\) ensembles ⋮ Non-homogenous disks in the chain of matrices ⋮ Transport maps for \(\beta\)-matrix models and universality

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