A New and Elementary CP^n Dyonic Magnon

Abstract

We show that the dressing transformation method produces a new type of dyonic CP^n magnon in terms of which all the other known solutions are either composites or arise as special limits. In particular, this includes the embedding of Dorey's dyonic magnon via an RP^3 subspace of CP^n. We also show how to generate Dorey's dyonic magnon directly in the S^n sigma model via the dressing method without resorting to the isomorphism with the SU(2) principle chiral model when n=3. The new dyon is shown to be either a charged dyon or topological kink of the related symmetric-space sine-Gordon theories associated to CP^n and in this sense is a direct generalization of the soliton of the complex sine-Gordon theory.

21 pages, JHEP3, typos corrected

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Giant Magnons
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Pohlmeyer reduction revisited
• Quantum scattering of charged solitons in the complex sine-Gordon model
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Massive Symmetric Space sine-Gordon Soliton Theories and Perturbed Conformal Field Theory

Cited by in corpus (22)

• Integrable Deformations of Strings on Symmetric Spaces
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• A Relativistic Relative of the Magnon S-Matrix
• Dressed Giant Magnons on CP^3
• Classical and Quantum Solitons in the Symmetric Space Sine-Gordon Theories
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• The Semi-Classical Spectrum of Solitons and Giant Magnons
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
• Giant Magnons of String Theory in the Lambda Background
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• On the absence of reflection in AdS4/CFT3
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta