Semiclassical strings and AdS/CFT

Abstract

We discuss AdS/CFT duality in the sector of ``semiclassical'' string states with large quantum numbers. We review the coherent-state effective action approach, in which similar 2d sigma model actions appear from the AdS_5 x S^5 string action and from the integrable spin chain Hamiltonian representing the N=4 super Yang-Mills dilatation operator. We consider mostly the leading-order terms in the energies/anomalous dimensions which match but comment also on higher-order corrections.

34 pages. Contribution to Proceedings of Cargese Summer School, June 7-19, 2004, extended version of hep-th/0407218

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• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Giant Magnon in NS5-brane Background
• Wound and Rotating Strings in AdS_5 x S^5
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• Precision Test of AdS/CFT in Lunin-Maldacena Background
• QCD and String Theory
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Semiclassical String Solutions on 1/2 BPS Geometries
• Magnon like solutions for strings in I-brane background
• Semi-classical Strings in Sasaki-Einstein Manifolds
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• Exact solutions for N-magnon scattering
• Series Solution and Minimal Surfaces in AdS
• Non-Critical Superstrings from Four-Dimensional Gauge Theory
• Fundamental String and D1-brane in I-brane Background
• The dual string sigma-model of the SU_q(3) sector
• On the non-BPS string solutions in Sasaki-Einstein gauge/gravity duality
• Semiclassical strings in marginally deformed toric AdS/CFT
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• Splitting of folded strings in AdS_3
• PSU(2,2|4) transformations of IIB superstring in AdS_5 x S^5
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• Spiky Strings with Two Spins in AdS5
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