Quasiclassical Geometry and Integrability of AdS/CFT Correspondence

Abstract

We discuss the quasiclassical geometry and integrable systems related to the gauge/string duality. The analysis of quasiclassical solutions to the Bethe anzatz equations arising in the context of the AdS/CFT correspondence is performed, compare to stationary phase equations for the matrix integrals. We demonstrate how the underlying geometry is related to the integrable sigma-models of dual string theory, and investigate some details of this correspondence.

Based on talks at the conferences "Classical and quantum integrable systems", January 2004, Dubna, and "Quarks-2004", May 2004, Pushkinskie Gory, Russia; LaTeX, 17 pp, 3 figures; references added

References in corpus (1)

• Spinning strings and AdS/CFT duality

Cited by in corpus (5)

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• Matrix Models, Complex Geometry and Integrable Systems. II