The SU(2) sector in AdS/CFT

Abstract

In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the λ/L^2 expansion.

17 Pages, no figures, to appear in the proceedings of the RTN workshop, Kolymbari, Crete, September 2004; v2 refs added, footnote changed

References in corpus (12)

• Bethe Ansatz for Quantum Strings
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Higher Loops Beyond the SU(2) Sector
• Pulsating Strings on AdS_5 x S^5
• Spin chain sigma models with fermions
• Supersymmetric null-surfaces
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain

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• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• All loop BMN state energies from matrices
• Strong coupling limit of Bethe Ansatz equations
• Exact expressions for quantum corrections to spinning strings
• Strings as Multi-Particle States of Quantum Sigma-Models
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Fixing the Quantum Three-Point Function
• Wound and Rotating Strings in AdS_5 x S^5
• Higher Spins and Stringy AdS5xS5
• Antiferromagnetic Operators in N=4 Supersymmetric Yang-Mills Theory
• On the Scattering Phase for AdS_5 x S^5 Strings
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Free particles from Brauer algebras in complex matrix models
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Strong coupling from the Hubbard model
• Four-loop anomalous dimensions in Leigh-Strassler deformations