Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
arXiv:0902.2405 · doi:10.1088/1126-6708/2009/04/060
Abstract
We study the solitons of the symmetric space sine-Gordon theories that arise once the Pohlmeyer reduction has been imposed on a sigma model with the symmetric space as target. Under this map the solitons arise as giant magnons that are relevant to string theory in the context of the AdS/CFT correspondence. In particular, we consider the cases S^n, CP^n and SU(n) in some detail. We clarify the construction of the charges carried by the solitons and also address the possible Lagrangian formulations of the symmetric space sine-Gordon theories. We show that the dressing, or Backlund, transformation naturally produces solitons directly in both the sigma model and the symmetric space sine-Gordon equations without the need to explicitly map from one to the other. In particular, we obtain a new magnon solution in CP^3. We show that the dressing method does not produce the more general "dyonic" solutions which involve non-trivial motion of the collective coordinates carried by the solitons.
52 pages
References in corpus (11)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Giant Magnons
- Spinning strings and AdS/CFT duality
- Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
- 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
- Dressing the Giant Magnon
- Pohlmeyer reduction revisited
- Q-balls, Integrability and Duality
- Dressing the Giant Gluon
Cited by in corpus (10)
- Quantum Strings and the AdS4/CFT3 Interpolating Function
- Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
- On the perturbative S-matrix of generalized sine-Gordon models
- A New and Elementary CP^n Dyonic Magnon
- Dressed Giant Magnons on CP^3
- Giant Magnons on CP^3 by Dressing Method
- Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
- The Semi-Classical Spectrum of Solitons and Giant Magnons
- Giant magnons and non-maximal giant gravitons
- Boundary Giant Magnons and Giant Gravitons