This article is cited in 9 papers

Semiclassical geometry and integrability of the ads/cft correspondence

A. V. Marshakov<sup>ab

a</sup> P. N. Lebedev Physical Institute, Russian Academy of Sciences
^b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: We discuss the semiclassical geometry and integrable systems related to the gauge-string duality. We analyze semiclassical solutions of the Bethe ansatz equations arising in the context of the AdS/CFT correspondence, comparing them to stationary phase equations for the matrix integrals. We demonstrate how the underlying geometry is related to the integrable sigma models of the dual string theory and investigate some details of this correspondence.

Keywords: strings, matrix models, integrable systems, Bethe ansatz, supersymmetric Yang–Mills theory.

DOI: 10.4213/tmf1780

 English version: Theoretical and Mathematical Physics, 2005, 142:2, 222–236

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