Dyonic Giant Magnons

Abstract

We study the classical spectrum of string theory on AdS_5 X S^5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S^5. These solutions are related via Pohlmeyer's reduction procedure to the charged solitons of the Complex sine-Gordon equation. The corresponding string states are dual to BPS boundstates of many magnons in the spin-chain description of planar N=4 SUSY Yang-Mills. The exact dispersion relation for these states is obtained from a purely classical calculation in string theory.

LaTeX file, 16 pages. One figure. Corrected references

References in corpus (3)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• On AdS_5 x S^5 String S-matrix
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory

Cited by in corpus (44)

• The all loop AdS4/CFT3 Bethe ansatz
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• On the Singularities of the Magnon S-matrix
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Generating AdS String Solutions
• Single spike solutions for strings on S2 and S3
• Gauge invariant finite size spectrum of the giant magnon
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The magnon kinematics of the AdS/CFT correspondence
• Finite-Size Effects for Dyonic Giant Magnons
• Magnons, Classical Strings and beta-Deformations
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Finite size effects for giant magnons on physical strings
• Moduli Dynamics of AdS_3 Strings
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Yangian Double for the AdS/CFT Classical r-matrix
• Spiky Strings, Giant Magnons and beta-deformations
• Three-Spin Giant Magnons in AdS_5xS^5
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Large Winding Sector of AdS/CFT
• Quantum Scattering of Giant Magnons
• Comments on the Boundary Scattering Phase
• Reflecting Magnon Bound States
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• A New and Elementary CP^n Dyonic Magnon
• On the Scattering of Magnon Boundstates
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant magnons and spiky strings on the conifold
• Dressing the Giant Gluon
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Semiclassical Quantization of the Giant Magnon
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• On the multi-spin magnon and spike solutions from membranes
• Giant Magnons under NS-NS and Melvin Fields
• D1-brane in beta-Deformed Background
• Near Flat Space limit of strings on AdS_4 x CP^3
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Semiclassical strings in AdS(3) X S^2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Defects and Dressed Boundaries in Complex Sine-Gordon Theory
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background