Proof of the lagrangean formalism of hermitean 1-matrix models to all orders

DOI10.1007/JHEP01(2010)034zbMath1269.81137arXiv0904.0753OpenAlexW3098247006MaRDI QIDQ359252

Alexander Klitz

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/0904.0753

zbMATH Keywords

matrix modelsdifferential and algebraic geometry

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Statistical thermodynamics (82B30)

Cites Work

• Unnamed Item
• Hermitian matrix model free energy: Feynman graph technique for all genera
• Free energy topological expansion for the 2-matrix model
• Genus-one correction to multicut matrix model solutions
• A Lagrangean formalism for Hermitean matrix models
• Invariants of algebraic curves and topological expansion
• Renormalization group flow in one- and two-matrix models
• Higher genus correlators for the Hermitian matrix model with multiple cuts
• Planar diagrams
• Matrix model calculations beyond the spherical limit.
• Weierstrass points, branch points, and moduli of riemann surfaces
• Topological recursion in enumerative geometry and random matrices
• A Census of Planar Maps

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