The uses of the refined matrix model recursion

DOI10.1063/1.3587063zbMath1317.81216arXiv1010.1210OpenAlexW2045450702MaRDI QIDQ5265992

Andrea Brini, Marcos Mariño, Sebastien Stevan

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1210

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Supersymmetric field theories in quantum mechanics (81T60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topological field theories in quantum mechanics (81T45)

Related Items (30)

High–low temperature dualities for the classical β-ensembles ⋮ WKB method and quantum periods beyond genus one ⋮ Genus one correction to Seiberg-Witten prepotential from \(\beta\)-deformed matrix model ⋮ Dijkgraaf-Vafa conjecture and \(\beta\)-deformed matrix models ⋮ \(q\)-holonomic formulas for colored HOMFLY polynomials of 2-bridge links ⋮ Five-dimensional gauge theories and the local B-model ⋮ Moments of the Gaussian β ensembles and the large-N expansion of the densities ⋮ M5-branes, toric diagrams and gauge theory duality ⋮ Deformed planar topological open string amplitudes on Seiberg-Witten curve ⋮ Quantum Hitchin systems via \(\beta\)-deformed matrix models ⋮ Quantum curves from refined topological recursion: the genus 0 case ⋮ A direct proof of AGT conjecture at {\(\beta\)} = 1 ⋮ Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations ⋮ \(\beta\)-ensembles and higher genera Catalan numbers ⋮ The \(\Omega \) deformed \(B\)-model for rigid \(N=2\) theories ⋮ A review of exact results for fluctuation formulas in random matrix theory ⋮ Generalized Penner model and the Gaussian beta ensemble ⋮ Generalized matrix models and AGT correspondence at all genera ⋮ On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds ⋮ Brezin-Gross-Witten model as ``pure gauge limit of Selberg integrals ⋮ Loop equation analysis of the circular \(\beta\) ensembles ⋮ Vertices, vortices \& interacting surface operators ⋮ Quantum geometry of refined topological strings ⋮ ABCD of beta ensembles and topological strings ⋮ Refined Chern-Simons theory and \((q, t)\)-deformed Yang-Mills theory: semi-classical expansion and planar limit ⋮ BPS states, crystals, and matrices ⋮ ASYMPTOTICS OF SPACING DISTRIBUTIONS AT THE HARD EDGE FOR β-ENSEMBLES ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain ⋮ Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble ⋮ A slow review of the AGT correspondence

Cites Work

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