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 (68)

• 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
• S-matrix for magnons in the D1-D5 system
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The magnon kinematics of the AdS/CFT correspondence
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• 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
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• 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
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Three-point correlators for giant magnons
• 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
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• Large Winding Sector of AdS/CFT
• Correlation functions of magnon and spike
• Quantum Scattering of Giant Magnons
• Comments on the Boundary Scattering Phase
• On the perturbative S-matrix of generalized sine-Gordon models
• Giant Magnon on Deformed AdS(3)xS(3)
• Reflecting Magnon Bound States
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• A New and Elementary CP^n Dyonic Magnon
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• On the Scattering of Magnon Boundstates
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant magnons and spiky strings on the conifold
• Dressing the Giant Gluon
• Correlation function of dyonic strings
• Semiclassical Quantization of the Giant Magnon
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• On the multi-spin magnon and spike solutions from membranes
• The Semi-Classical Spectrum of Solitons and Giant Magnons
• 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
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• Semiclassical strings in AdS(3) X S^2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Spiky strings in de Sitter space
• Giant magnons and non-maximal giant gravitons
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Correlation functions of the ABJM model
• Defects and Dressed Boundaries in Complex Sine-Gordon Theory
• Boundary Giant Magnons and Giant Gravitons
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Rotating and Orbiting Strings in Dp-brane background
• Novel aspects of integrability for NLSMs in symmetric spaces