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Institute for the Physics and Mathematics of the UniverseWPI

AdS/CFT correspondence and Integrable systems

Date: July 16, 2008
  • 10:30 - 12:00
  • 13:30 - 15:00
  • 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B, Kashiwa Campus of the University of Tokyo
Speaker: Kazuhiro Sakai (Keio)
Title: AdS/CFT correspondence and Integrable systems
Abstract: Integrability has become of increasing importance in the study of the AdS/CFT correspondence, the duality between the four-dimensional maximally supersymmetric gauge theory and the IIB superstring theory over the AdS5 x S5 background. Integrable structures were found independently on both sides of the correspondence, first at one-loop order of perturbation on the gauge side and in the classical limit on the string side. These structures were subsequently unified into a novel integrable structure which is valid for arbitrary values of the coupling. I will explain how these structures emerge from the original theories and how they help us to solve the spectral problems in the AdS/CFT correspondence. The plan of the lecture is as follows:
  • 1) Classical superstrings: finite-gap solutions and spectral curves
  • 2) Gauge theory at one-loop: integrable spin-chain and Bethe ansatz
  • 3) All-order integrability: particle model and su(2|2) factorized S-matrix