Matrix Models, Complex Geometry and Integrable Systems. II

Details Matrix Models, Complex Geometry and Integrable Systems. II Matrix Models, Complex Geometry and Integrable Systems. II

2006-01-29

arxiv.org/abs/hep-th/0601214v2

Theor.Math.Phys.147:777-820,2006; Teor.Mat.Fiz.147:399-449,2006

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 10 figures, based on several lecture courses and the talks at "Complex geometry and string theory" and the Polivanov

Scientific paper

10.1007/s11232-006-0077-6

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.

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