Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
arXiv:hep-th/0407218 · doi:10.1016/j.crhy.2004.09.009
Abstract
We review recent progress in checking AdS/CFT duality in the sector of ''semiclassical'' string states dual to ''long'' scalar operators of N=4 super Yang-Mills theory. In particular, we discuss the effective action approach, in which the same sigma model type action describing coherent states is shown to emerge from the AdS_5 x S^5 string action and from the spin chain Hamiltonian representing the SYM dilatation operator.
21 pages. Based on talks at Workshop on Continuous Advances in QCD 2004, Minneapolis, May 13-16 and Strings 2004, Paris, June 28 - July 2. v2: misprints corrected
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- Algebraic Curve for the SO(6) sector of AdS/CFT
- Generating AdS String Solutions
- Complete Spectrum of Long Operators in N=4 SYM at One Loop
- One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
- Semiclassical Bethe Ansatz and AdS/CFT
- Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
- Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
- A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
- The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
- Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
- Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
- Open Spinning Strings and AdS/dCFT Duality
- Dressing the Giant Gluon
- Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
- Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
- On the Spectrum of the AdS_5xS^5 String at large lambda
- Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
- Exact solutions for N-magnon scattering
- Renormalization group flow of reduced string actions