Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory

Abstract

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and can be directly compared to the string energies. We study finite-size corrections for Bethe states which should describe quantum corrections to energies of extended semiclassical strings.

10 pages

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Cited by in corpus (34)

• Bethe Ansatz for Quantum Strings
• The Factorized S-Matrix of CFT/AdS
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• On one-loop correction to energy of spinning strings in S^5
• Yang-Mills Correlation Functions from Integrable Spin Chains
• A Universality Test of the Quantum String Bethe Ansatz
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• Semiclassical Bethe Ansatz and AdS/CFT
• Gauge invariant finite size spectrum of the giant magnon
• 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
• Spin chain sigma models with fermions
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Fluctuations and Energy Shifts in the Bethe Ansatz
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Wound and Rotating Strings in AdS_5 x S^5
• Spin Models and Superconformal Yang-Mills Theory
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Aspects of Integrability in AdS/CFT Duality
• Rational three-spin string duals and non-anomalous finite size effects
• Finite-size corrections to the rotating string and the winding state
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM