Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence

Abstract

We consider defect composite operators in a defect superconformal field theory obtained by inserting an AdS_4 x S^2-brane in the AdS_5 x S^5 background. The one-loop dilatation operator for the scalar sector is represented by an integrable open spin chain. We give a description to construct coherent states for the open spin chain. Then, by evaluating the expectation value of the Hamiltonian with the coherent states in a long operator limit, a Landau-Lifshitz type of sigma model action is obtained. This action is also derived from the string action and hence we find a complete agreement in both SYM and string sides. We see that an SO(3)_H pulsating string solution is included in the action and its energy completely agrees with the result calculated in a different method. In addition, we argue that our procedure would be applicable to other AdS-brane cases.

22 pages, 1 figure, LaTeX, minor corrections and references added. v3) some new results added. shortened and accepted version in PRD

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• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spiky strings and single trace operators in gauge theories
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Integrable open spin chains from giant gravitons
• One-point Functions in AdS/dCFT from Matrix Product States
• Reflecting magnons
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Open string modes at brane intersections
• One-loop one-point functions in gauge-gravity dualities with defects
• One-Loop QCD Spin Chain and its Spectrum
• 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
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Wound and Rotating Strings in AdS_5 x S^5
• Open string integrability and AdS/CFT
• Open Spinning Strings and AdS/dCFT Duality
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Circular Wilson loops in defect Conformal Field Theory
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Noncommutative D-brane from Covariant AdS Superstring
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Renormalization group flow of reduced string actions
• String Solutions in General Backgrounds