Open Spinning Strings and AdS/dCFT Duality

Abstract

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating string ansatz is discussed. We construct the elliptic folded/circular open string solutions in the SU(2) and the SL(2) sectors, so that they satisfy the appropriate boundary conditions. On the other hand, in the SU(2) sector of the gauge theory, we compute the matrix of anomalous dimension of the defect operator, which turns out to be the Hamiltonian of an open integrable spin chain. Then we consider the coordinate Bethe ansatz with arbitrary number of impurities, and compare the boundary condition of the Bethe wavefunction with that of the corresponding open string solution. We also discuss the Bethe ansatz for the open SL(2) spin chain with several supports from the string theory side. Then, in both SU(2) and SL(2) sectors, we analyze the Bethe equations in the thermodynamic limit and formulate the `doubling trick' on the Riemann surface associated with the gauge theory.

1+50 pages, 7 figures, JHEP style, references added

References in corpus (72)

• 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
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Classical/quantum integrability in AdS/CFT
• Multi-spin string solutions in AdS_5 x S^5
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Holography and Defect Conformal Field Theories
• The Factorized S-Matrix of CFT/AdS
• 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
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Aspects of Semiclassical Strings in AdS${}_5$
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Matching Higher Conserved Charges for Strings and Spins
• Branes in AdS and pp-wave spacetimes
• Precision Spectroscopy of AdS/CFT
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Gauge/string duality for QCD conformal operators
• Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects
• Quantizing three-spin string solution in AdS_5 x S^5
• Boundary K-matrices for the XYZ, XXZ AND XXX spin chains
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Localized Gravity in String Theory
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Open Strings from N=4 Super Yang-Mills
• Integrable open spin chains from giant gravitons
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• The Algebraic Curve of 1-loop Planar N=4 SYM
• Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons
• On one-loop correction to energy of spinning strings in S^5
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• 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
• Higher Loops Beyond the SU(2) Sector
• Integrable Open Spin Chains in Defect Conformal Field Theory
• D-branes in a plane wave from covariant open 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
• Bulk and Boundary S Matrices for the SU(N) Chain
• Open Spin Chain and Open Spinning String
• Supergravity solutions for D-branes in Hpp-wave backgrounds
• Open Spinning Strings
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Open string integrability and AdS/CFT
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Notes on Giant Gravitons on PP-waves
• D-branes of Covariant AdS Superstrings
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Notes on D-branes of Type IIB String on AdS_5 x S^5
• Open string - BMN operator correspondence in the weak coupling regime

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• Small deformations of supersymmetric Wilson loops and open spin-chains
• One-point Functions in AdS/dCFT from Matrix Product States
• Reflecting magnons
• Open string modes at brane intersections
• 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
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• The Bethe Ansatz Equations for Reflecting Magnons
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• The AdS Veneziano amplitude at small curvature
• Circular Wilson loops in defect Conformal Field Theory
• Structure constants of operators on the Wilson loop from integrability
• Double-helix Wilson loops: case of two angular momenta
• On the reflection of magnon bound states
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Spectral curve for open strings attached to the Y=0 brane
• Noncommutative D-brane from Covariant AdS Superstring
• Mass-spin relation for quark anti-quark bound states in non-commutative Yang-Mills theory