Generating AdS String Solutions

Abstract

We use a Pohlmeyer type reduction to generate classical string solutions in AdS spacetime. In this framework we describe a correspondence between spikes in AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string solution and its closed spinning string counterpart are related to the sinh-Gordon vacuum. We construct classical string solutions corresponding to sinh-Gordon solitons, antisolitons and breathers by the inverse scattering technique. The breather solutions can also be reproduced by the sigma model dressing method.

21 pages, 3 figures, references added

References in corpus (15)

• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Comments on operators with large spin
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Semiclassical strings and AdS/CFT
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• New Dual Conformally Invariant Off-Shell Integrals
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Some properties of the Alday-Maldacena minimum
• Quark scattering amplitudes at strong coupling
• Gluon scattering in $\mathcal{N}=4$ Super Yang-Mills at finite temperature
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT

Cited by in corpus (7)

• On reduced models for superstrings on AdS_n x S^n
• Aspects of Integrability in AdS/CFT Duality
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• Exact solutions for N-magnon scattering
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Conformal SO(2,4) Transformations for the Helical AdS String Solution