Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT

Abstract

Following the recent proposal of Alday and Maldacena to obtain the strong coupling scattering amplitude in N=4 SYM via AdS/CFT, we point out that a unique solution can be obtained by imposing all the Virasoro constraints. In the case of four-gluon scattering, this solution is identical to the Alday-Maldacena solution, which is in accordance with the ansatz of Bern, Dixon and Smirnov. This also solves the moduli space problem of the four-point solution in a recent paper of Mironov, Morozov and Tomaras.

8 pages, no figures; v2: refined analysis on a general choice of k-vectors, see eq.(19); v3: presentation is improved, a mistake (eq.(31) in v2) is corrected, to be published in JHEP

References in corpus (5)

• Generating AdS String Solutions
• New Dual Conformally Invariant Off-Shell Integrals
• Some properties of the Alday-Maldacena minimum
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle

Cited by in corpus (5)

• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Generating AdS String Solutions
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Conformal SO(2,4) Transformations for the Helical AdS String Solution