Matrix models as CFT: genus expansion

DOI10.1016/j.nuclphysb.2010.05.006zbMath1206.81105arXiv0912.2137OpenAlexW1521509700MaRDI QIDQ627815

Ivan K. Kostov

Publication date: 4 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2137

zbMATH Keywords

dressed twist fieldsgenus-two free energy

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Feynman diagrams (81T18) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

A proof of loop equations in 2d topological gravity, CFT and topological recursion, From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators, Matrix models for random partitions, Multi-boundary correlators in JT gravity, Non-perturbative topological strings and conformal blocks, A \& B model approaches to surface operators and Toda thoeries, An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model, Large \(N\) limit of \(\beta\)-ensembles and deformed Seiberg-Witten relations, CUT-AND-JOIN OPERATOR REPRESENTATION FOR KONTSEVICH–WITTEN TAU-FUNCTION

Cites Work

• Free energy topological expansion for the 2-matrix model
• Matrix eigenvalue model: Feynman graph technique for all genera
• Matrix models and gravitational corrections
• Geometry of the string equations
• Non-rational 2D quantum gravity. II: Target space CFT
• A Lagrangean formalism for Hermitean matrix models
• Analytic fields on Riemannian surfaces
• Analytic fields on Riemann surfaces. II
• Intersection theory on the moduli space of curves and the matrix Airy function
• Clifford operators and Riemann's monodromy problem
• Planar diagrams
• Matrix model calculations beyond the spherical limit.
• Conformal matrix models as an alternative to conventional multi-matrix models
• Instantons and merons in matrix models
• PARTITION FUNCTIONS OF MATRIX MODELS AS THE FIRST SPECIAL FUNCTIONS OF STRING THEORY II: KONTSEVICH MODEL
• Mixed correlation function and spectral curve for the 2-matrix model
• Breakdown of universality in multi-cut matrix models
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
• Topological expansion of mixed correlations in the Hermitian 2-matrix model andx–ysymmetry of theF_galgebraic invariants
• Solvable statistical models on a random lattice