Dressing the Giant Gluon

Abstract

We demonstrate the applicability of the dressing method to the problem of constructing new classical solutions for Euclidean worldsheets in anti-de Sitter space. The motivation stems from recent work of Alday and Maldacena, who studied gluon scattering amplitudes at strong coupling using a generalization of a particular worldsheet found by Kruczenski whose edge traces a path composed of light-light segments on the boundary of AdS. We dress this `giant gluon' to find new solutions in AdS_3 and AdS_5 whose edges trace out more complicated, timelike curves on the boundary. These solutions may be used to calculate certain Wilson loops via AdS/CFT.

19 pages, 3 figures, harvmac

References in corpus (19)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Gluon scattering amplitudes at strong coupling
• A semi-classical limit of the gauge/string correspondence
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Dressing the Giant Magnon
• Dressing the Giant Magnon II
• Multi-String Solutions by Soliton Methods in De Sitter Spacetime
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory

Cited by in corpus (20)

• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Generating AdS String Solutions
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Moduli Dynamics of AdS_3 Strings
• Scattering of single spikes
• On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
• Quark scattering amplitudes at strong coupling
• A note on the reduction of the AdS4 x CP3 string sigma model
• Dressed Giant Magnons on CP^3
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• Minimal surfaces in AdS space and Integrable systems
• Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Dressed Elliptic String Solutions on RxS^2
• Generating string solutions in BTZ
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Dressed Minimal Surfaces in AdS${}_4$