Semiclassical Bethe Ansatz and AdS/CFT

Abstract

The Bethe ansatz can be used to compute anomalous dimensions in N=4 SYM theory. The classical solutions of the sigma-model on AdS(5)xS(5) can also be parameterized by an integral equation of Bethe type. In this note the relationship between the two Bethe ansaetze is reviewed following hep-th/0402207.

13 pages, Based on talks at Strings04, Paris, 28.06-02.07; 37th Symposium Ahrenshoop, Berlin, 23.08-27.08 and Integrable Models and Applications, Sozopol, 31.08-04.09; v2: misprints in (38) and (61) corrected; v3: misprints in (3) and (11) corrected; v4: misprint in (20) corrected

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• The Bethe-Ansatz for N=4 Super Yang-Mills
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Cited by in corpus (55)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Giant Magnons
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Finite-size Effects from Giant Magnons
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Magnon Bound States and the AdS/CFT Correspondence
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• All loop BMN state energies from matrices
• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Exact expressions for quantum corrections to spinning strings
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Introduction to AdS-CFT
• Bethe Ansatz in Stringy Sigma Models
• Dressing the Giant Magnon II
• Magnons, Classical Strings and beta-Deformations
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• A nonlocal Poisson bracket of the sine-Gordon model
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Giant Magnon in NS5-brane Background
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Giant Magnon on Deformed AdS(3)xS(3)
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Sigma model from SU(1,1|2) spin chain
• Aspects of Integrability in AdS/CFT Duality
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• On the Spectrum of the AdS_5xS^5 String at large lambda
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• On quantum integrability of the Landau-Lifshitz model
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• On S-Matrix factorization of the Landau-Lifshitz model
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• On the breakdown of perturbative integrability in large N matrix models
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Algebra of Lax Connection for T-Dual Models
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• String Solutions in General Backgrounds
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
• Gravitational realization of magnons in a ferromagnetic spin chain