Zero modes for the giant magnon

Abstract

We explicitly construct the eight fermion zero mode solutions for the Hofman-Maldacena giant magnon. The solutions are naturally gauge fixed under the κ-symmetry. Substituting the solutions back into the Lagrangian leads to a simple expression that can be quantized directly. We also show how to construct the SU(2|2)\times SU(2|2) superalgebra from these zero modes. For completeness we also find the four bosonic zero mode solutions.

14 pages; v2 references added; v3 minor changes, references added

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Cited by in corpus (27)

• The all loop AdS4/CFT3 Bethe ansatz
• On the Singularities of the Magnon S-matrix
• Reflecting magnons
• Single spike solutions for strings on S2 and S3
• Superstrings in AdS(2)xS(2)xT(6)
• Gauge invariant finite size spectrum of the giant magnon
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Finite size effects for giant magnons on physical strings
• A Yangian Double for the AdS/CFT Classical r-matrix
• Macroscopic (and Microscopic) Massless Modes
• Scattering of single spikes
• Quantum Scattering of Giant Magnons
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Semiclassical Quantization of the Giant Magnon
• Giant Magnons on CP^3 by Dressing Method
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• On the multi-spin magnon and spike solutions from membranes
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Quantum Giant Magnons
• Zero Modes for the Boundary Giant Magnons
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Worldsheet one-loop energy correction to IIA Giant Magnon