Minimal solution of the AdS/CFT crossing equation

Abstract

We solve explicitly the crossing equation under sufficiently general assumptions on the structure of the dressing phase. We obtain the BES/BHL dressing phase as a minimal solution of the crossing equation and identify the possible CDD factors.

4 pages, 2 figures. In v2: references added, introduction improved, explanations in the text improved, typos corrected, section with explanation of analytical properties of the dressing phase added

References in corpus (25)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• The su(2|2) Dynamic S-Matrix
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• The Factorized S-Matrix of CFT/AdS
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• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
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• On Quantum Corrections to Spinning Strings and Bethe Equations
• On the Singularities of the Magnon S-matrix
• Integrability and Transcendentality
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Strong coupling limit of Bethe Ansatz equations
• Constructing the AdS/CFT dressing factor
• Functional BES equation
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
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Cited by in corpus (16)

• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Dressing phases of AdS3/CFT2
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Two-dimensional S-matrices from unitarity cuts
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon