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

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Cited by in corpus (27)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• 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
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• 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
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Scattering of Giant Magnons in CP^3
• D1-brane in beta-Deformed Background
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Quantum Giant Magnons
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• The Ising model and planar N=4 Yang-Mills
• Microscopic formulation of the S-matrix in AdS/CFT
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon