Quasiclassical Geometry and Integrability of AdS/CFT Correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Based on talks at the conferences "Classical and quantum integrable systems", January 2004, Dubna, and "Quarks-2004", May 2004

Scientific paper

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.

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