Quantum Scattering of Giant Magnons

Abstract

We perform a first-principles semi-classical computation of the one-loop corrections to the dispersion relation and S-matrix of Giant Magnons in AdS_5 x S^5 string theory. The results agree exactly with expectations based on the strong coupling expansion of the exact Asymptotic Bethe Ansatz equations. In particular we reproduce the Hernandez-Lopez term in the dressing phase.

47 pages, 2 figures. References added, to be submitted to JHEP

References in corpus (14)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• Magnon Bound States and the AdS/CFT Correspondence
• On the highest transcendentality in N=4 SUSY
• Dyonic Giant Magnons
• On the Singularities of the Magnon S-matrix
• Infinite spin limit of semiclassical string states
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• A Universality Test of the Quantum String Bethe Ansatz
• Dressing the Giant Magnon
• Exact expressions for quantum corrections to spinning strings

Cited by in corpus (17)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Complete 1-loop test of AdS/CFT
• S-matrix for magnons in the D1-D5 system
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Quantum Wrapped Giant Magnon
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Interacting finite-size magnons
• Large Winding Sector of AdS/CFT
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Comments on the Boundary Scattering Phase
• Giant Magnons on CP^3 by Dressing Method
• D1-brane in beta-Deformed Background
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Microscopic formulation of the S-matrix in AdS/CFT
• The Ising model and planar N=4 Yang-Mills
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon