Hermitian matrix model free energy: Feynman graph technique for all genera

DOI10.1088/1126-6708/2006/03/014zbMath1226.81137arXivhep-th/0504116OpenAlexW2119923149MaRDI QIDQ648643

Bertrand Eynard, Leonid O. Chekhov

Publication date: 28 November 2011

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

Full work available at URL: https://arxiv.org/abs/hep-th/0504116

Mathematics Subject Classification ID

Feynman diagrams (81T18) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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Cites Work

• Large \(N\) expansion of the 2-matrix model
• Matrix models and gravitational corrections
• Genus-one correction to multicut matrix model solutions
• Genus one contribution to free energy in Hermitian two-matrix model
• Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
• Free energy of the two-matrix model/dToda tau-function
• Electric-magnetic duality and WDVV equations
• Higher genus correlators for the Hermitian matrix model with multiple cuts
• Matrix models, topological strings, and supersymmetric gauge theories
• On geometry and matrix models
• Planar diagrams
• Matrix models vs. Seiberg-Witten/Whitham theories
• Matrix model calculations beyond the spherical limit.
• Regularization of one-matrix models
• LOOP EQUATIONS AND NON-PERTURBATIVE EFFECTS IN TWO-DIMENSIONAL QUANTUM GRAVITY
• PROPERTIES OF LOOP EQUATIONS FOR THE HERMITIAN MATRIX MODEL AND FOR TWO-DIMENSIONAL QUANTUM GRAVITY
• New universal spectral correlators
• Complex curve of the two-matrix model and its tau-function
• Breakdown of universality in multi-cut matrix models
• PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY
• Solving Virasoro constraints in matrix models
• A large \(N\) duality via a geometric transition

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