Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS

Abstract

Very recently in arXiv:0705.0303 Alday and Maldacena gave a string theory prescription for computing (all) planar amplitudes in N=4 supersymmetric gauge theory at strong coupling using the AdS/CFT correspondence. These amplitudes are determined by a classical string solution and contain a universal exponential factor involving the action of the classical string. On the gauge theory side, expressions for perturbative amplitudes at strong coupling were previously proposed only for specific helicities of external particles -- the maximally helicity violating or MHV amplitudes. These follow from the exponential ansatz of Bern, Dixon and Smirnov for MHV amplitudes in N=4 SYM. In this paper we examine the amplitudes dependence on helicities and particle-types of external states. We consider the prefactor of string amplitudes and give arguments suggesting that the prefactor at strong coupling should be the same as the Yang-Mills tree-level amplitude for the same process. This implies that scattering amplitudes in N=4 SYM simplify dramatically in the strong coupling limit. It follows from our proposal that in this limit all (MHV and non-MHV) n-point amplitudes are given by the (known) tree-level Yang-Mills result times the helicity-independent (and particle-type-independent) universal exponential.

V3 extended version to appear in JHEP, new figures, clarifications and references added. 8 pages and 5 figs

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Cited by in corpus (28)

• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Comments on gluon scattering amplitudes via AdS/CFT
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Generating AdS String Solutions
• Two-Loop Polygon Wilson Loops in N=4 SYM
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Planar quark scattering at strong coupling and universality
• On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
• Some properties of the Alday-Maldacena minimum
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
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• Gluon scattering in $\mathcal{N}=4$ Super Yang-Mills at finite temperature
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• MHV amplitudes in N=2 SQCD and in N=4 SYM at one loop
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• Regular Wilson loops and MHV amplitudes at weak and strong coupling
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• Deviation from Alday-Maldacena Duality For Wavy Circle
• Twistors, strings and supersymmetric gauge theories
• On perturbative field theory and twistor string theory
• MHV amplitudes, Wilson loops and the BDS ansatz in the superconformal N=2 QCD