Matrix Models, Complex Geometry and Integrable Systems. II

Abstract

We consider certain examples of applications of the general methods, based on geometry and integrability of matrix models, described in hep-th/0601212. In particular, the nonlinear differential equations, satisfied by quasiclassical tau-functions are investigated. We also discuss a similar quasiclassical geometric picture, arising in the context of multidimensional supersymmetric gauge theories and the AdS/CFT correspondence.

44 pages, 10 figures, based on several lecture courses and the talks at "Complex geometry and string theory" and the Polivanov memorial seminar; misprints corrected, references added

References in corpus (9)

• A Perturbative Window into Non-Perturbative Physics
• Spinning strings and AdS/CFT duality
• Normal random matrix ensemble as a growth problem
• TASI 2003 Lectures on AdS/CFT
• Semiclassical strings and AdS/CFT
• Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the KdV hierarchy
• Matrix models and growth processes: from viscous flows to the quantum Hall effect
• Matrix Models, Complex Geometry and Integrable Systems. I
• Determinant Formulas for Matrix Model Free Energy

Cited by in corpus (5)

• On Microscopic Origin of Integrability in Seiberg-Witten Theory
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Notes on the algebraic curves in (p,q) minimal string theory
• Matrix Models, Complex Geometry and Integrable Systems. I
• On two-dimensional quantum gravity and quasiclassical integrable hierarchies