Integrability and Matrix Models

Abstract

A brief review of the eigenvalue matrix model integrability and superintegrability properties, focused on the simplest, still representative, Gaussian Hermitian case.

References in corpus (30)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hopf Algebras, Renormalization and Noncommutative Geometry
• Integrability and Seiberg-Witten Exact Solution
• Integrability and Matrix Models
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Hermitean matrix model free energy: Feynman graph technique for all genera
• Torus knots and mirror symmetry
• Soft matrix models and Chern-Simons partition functions
• Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model
• Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models
• $2d$ gravity and matrix models. I. $2d$ gravity
• Unitary matrix integrals in the framework of Generalized Kontsevich Model. I. Brezin-Gross-Witten Model
• Unification of All String Models with $c<1$
• Generation of Matrix Models by W-operators
• On KP-integrable Hurwitz functions
• A direct proof of AGT conjecture at beta = 1
• On the complete perturbative solution of one-matrix models
• Ward identities and combinatorics of rainbow tensor models
• Complex Matrix Models and Statistics of Branched Coverings of 2D Surfaces
• Polynomial averages in the Kontsevich model
• Generalized Hirota Equations and Representation Theory. I. The case of $SL(2)$ and $S{L}_q(2)$"
• Cut-and-Join operator representation for Kontsevich-Witten tau-function
• On (q,t)-deformation of Gaussian matrix model
• On matrix models and their $q$-deformations
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• Bogolubov's Recursion and Integrability of Effective Actions
• Two-Dimensional Chiral Matrix Models and String Theories
• Non-Abelian W-representation for GKM
• Matrix model partition function by a single constraint
• Around spin Hurwitz numbers