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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• Finite-size Effects from Giant Magnons
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• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Dyonic Giant Magnons
• On the Singularities of the Magnon S-matrix
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• On the Hopf algebra structure of the AdS/CFT S-matrix
• The S-matrix of String Bound States
• On the Strong Coupling Scaling Dimension of High Spin Operators
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Strong-coupling expansion of cusp anomaly from quantum superstring
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Strong coupling limit of Bethe Ansatz equations
• 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
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• A Yangian Double for the AdS/CFT Classical r-matrix
• 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
• Comments on the Boundary Scattering Phase
• On the Scattering Phase for AdS_5 x S^5 Strings
• Reflecting Magnon Bound States
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• On the Scattering of Magnon Boundstates
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• The Bethe Ansatz Equations for Reflecting Magnons
• On the anatomy of multi-spin magnon and single spike string solutions
• Semiclassical Quantization of the Giant Magnon
• Minimal solution of the AdS/CFT crossing equation
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• The su(2|3) Undynamic Spin Chain
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• Aspects of Integrability in AdS/CFT Duality
• Structure of the string R-matrix
• Nesting and Dressing
• Near Flat Space limit of strings on AdS_4 x CP^3
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• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• On the origin of the dressing phase in N=4 Super Yang-Mills
• N-body Dynamics of Giant Magnons in RxS2
• On the dressing phase in the SL(2) Bethe Ansatz
• Microscopic formulation of the S-matrix in AdS/CFT
• The Ising model and planar N=4 Yang-Mills
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems