Semiclassical geometry and integrability of the AdS/CFT correspondence

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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.

Original languageEnglish
Pages (from-to)222-236
Number of pages15
JournalTheoretical and Mathematical Physics
Volume142
Issue number2
DOIs
Publication statusPublished - Feb 2005
Externally publishedYes

Keywords

  • Bethe ansatz
  • Integrable systems
  • Matrix models
  • Strings
  • Supersymmetric Yang -Mills theory

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