On AdS_5 x S^5 String S-matrix

Abstract

Recently two interesting conjectures about the string S-matrix on AdS_5 x S^5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum string Bethe ansatz. Second, Hernandez and Lopez proposed an explicit form of 1/\sqrtλcorrection to the dressing factor. In this note we show that in the strong coupling expansion Janik's equation is solved by the dressing factor up to the order of its validity. This observation provides a strong evidence in favor of a conjectured Hopf algebra symmetry for strings in AdS_5 x S^5 as well as the perturbative string S-matrix.

10 pages, version2: misprints are corrected

References in corpus (4)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Exact expressions for quantum corrections to spinning strings

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• The magnon kinematics of the AdS/CFT correspondence
• The Four-Loop Dressing Phase of N=4 SYM
• Finite-Size Effects for Dyonic Giant Magnons
• Constructing the AdS/CFT dressing factor
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Secret Symmetry of the AdS/CFT S-matrix
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• A Yangian Double for the AdS/CFT Classical r-matrix
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• New Dressing Factors for AdS3/CFT2
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Large Winding Sector of AdS/CFT
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Coordinate Bethe Ansatz for the String S-Matrix
• Quantum Scattering of Giant Magnons
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• Reflecting Magnon Bound States
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
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• Semiclassical Quantization of the Giant Magnon
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• Aspects of Integrability in AdS/CFT Duality
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Structure of the string R-matrix
• An improved AFS phase for AdS3 string integrability
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
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• Near Flat Space limit of strings on AdS_4 x CP^3
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• On the dressing phase in the SL(2) Bethe Ansatz
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