Integrability and Higher Loops in AdS/dCFT Correspondence

Abstract

We further study the correspondence between open semiclassical strings and long defect operators which is discussed in our previous work [hep-th/0410139]. We give an interpretation of the spontaneous symmetry breaking of SO(6)-> SO(3)_H x SO(3)_V from the viewpoint of the Riemann surface by following the argument of Minahan. Then we use the concrete form of the resolvent for a single cut solution and compute the anomalous dimension of operators dual to an open pulsating string at three-loop level. In the string side we obtain the energy of the open pulsating string solution by semiclassical analysis. Both results agree at two-loop level but we find a three-loop discrepancy.

v1: 11 pages, 2 figures; v2: minor corrections, references added, published version

References in corpus (55)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• The N=4 SYM Integrable Super Spin Chain
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Classical/quantum integrability in AdS/CFT
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Holography and Defect Conformal Field Theories
• The su(2|3) Dynamic Spin Chain
• Spin chains and string theory
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Aspects of Semiclassical Strings in AdS${}_5$
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Integrability of three-particle evolution equations in QCD
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Matching Higher Conserved Charges for Strings and Spins
• Precision Spectroscopy of AdS/CFT
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Gauge/string duality for QCD conformal operators
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Yang-Mills Duals for Semiclassical Strings
• Algebraic Curve for the SO(6) sector of AdS/CFT
• The SU(3) spin chain sigma model and string theory
• Open Strings from N=4 Super Yang-Mills
• Integrable open spin chains from giant gravitons
• The Algebraic Curve of 1-loop Planar N=4 SYM
• Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• Open Strings on Plane waves and their Yang-Mills duals
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• Open Strings in PP-Wave Background from Defect Conformal Field Theory
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Two-loop commuting charges and the string/gauge duality
• Higher Loops Beyond the SU(2) Sector
• Integrable Open Spin Chains in Defect Conformal Field Theory
• 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
• Open Spin Chain and Open Spinning String
• Open Spinning Strings
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Open string integrability and AdS/CFT
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• Open string - BMN operator correspondence in the weak coupling regime

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• One-loop one-point functions in gauge-gravity dualities with defects
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Classical Open String Integrability
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Reflecting magnons from D7 and D5 branes
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Open Spinning Strings and AdS/dCFT Duality
• Circular Wilson loops in defect Conformal Field Theory
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Bethe ansatz equations for open spin chains from giant gravitons
• On the reflection of magnon bound states
• Noncommutative D-brane from Covariant AdS Superstring