Constructing the AdS/CFT dressing factor

Abstract

We prove the universality of the Hernandez-Lopez phase by deriving it from first principles. We find a very simple integral representation for the phase and discuss its possible origin from a nested Bethe ansatz structure. Hopefully, the same kind of derivation could be used to constrain higher orders of the full quantum dressing factor.

5 figures

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• Complete 1-loop test of AdS/CFT
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The Dressing Factor and Crossing Equations
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Superstrings in AdS(2)xS(2)xT(6)
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Y-system and Quasi-Classical Strings
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Quantum Integrability for Three-Point Functions
• World-sheet scattering in AdS_5 x S^5 at two loops
• Wronskian Solution for AdS/CFT Y-system
• Quantum Wrapped Giant Magnon
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Quantum integrability and functional equations
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• A Yangian Double for the AdS/CFT Classical r-matrix
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Interacting finite-size magnons
• Correlation functions of magnon and spike
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Minimal solution of the AdS/CFT crossing equation
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Aspects of Integrability in AdS/CFT Duality
• On the Fermionic Frequencies of Circular Strings
• Toy models for wrapping effects
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Giant Magnons of String Theory in the Lambda Background
• Non-relativistic string monodromies
• N-body Dynamics of Giant Magnons in RxS2
• The Ising model and planar N=4 Yang-Mills
• Microscopic formulation of the S-matrix in AdS/CFT