Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5

Abstract

We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS_5 x S^5 associated with a certain circular three-spin solution spinning with large angular momenta in three orthogonal directions on the five-sphere. Using the AdS/CFT correspondence we find agreement to one-loop with the tower of conserved higher charges in planar N=4 super Yang-Mills theory associated with the dual composite single-trace operator in the highest weight representation (J_1,J_2,J_2) of SO(6). The agreement can be explained by the presence of integrability on both sides of the duality.

21 pages, harvmac, minor changes, references added

References in corpus (10)

• Spin chains and string theory
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Matching Higher Conserved Charges for Strings and Spins
• Spinning strings and AdS/CFT duality
• Speeding Strings
• Non-local charges on AdS_5 x S^5 and PP-waves
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Slow evolution of nearly-degenerate extremal surfaces
• More on supersymmetric tensionless rotating strings in AdS_5 x S^5

Cited by in corpus (39)

• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Lax Pair for Strings in Lunin-Maldacena Background
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Deformations of N=4 SYM and integrable spin chain models
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• The Algebraic Curve of 1-loop Planar N=4 SYM
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Semiclassical Bethe Ansatz and AdS/CFT
• Higher Loops Beyond the SU(2) Sector
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Pulsating Strings on AdS_5 x S^5
• An action variable of the sine-Gordon model
• Spin chain sigma models with fermions
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Quantum string integrability and AdS/CFT
• Wound and Rotating Strings in AdS_5 x S^5
• Spin Models and Superconformal Yang-Mills Theory
• The SU(2) sector in AdS/CFT
• Notes on fast moving strings
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Rational three-spin string duals and non-anomalous finite size effects
• Anomalous dimension and local charges
• Plane wave limit of local conserved charges
• Sugawara form for AdS superstring
• On the Integrability of String Theory in AdS_5 x S^5
• Higher Charges in Dynamical Spin Chains for SYM Theory
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Quantum Strings and Bethe Equations