Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/04/060
Keywords
Solitons Monopoles and Instantons; AdS-CFT Correspondence; Integrable Field Theories; Sigma Models
Categories
Funding
- MICINN (Spain)
- FEDER [FPA2008-01838, FPA2008-01177]
- Xunta de Galicia (Consejeria de Educacion)
- Spanish Consolider-Ingenio 2010 Programme CPAN [CSD2007-00042]
- STFC [ST/G000506/1]
- [PGIDIT06PXIB296182PR]
- STFC [ST/G000506/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000506/1] Funding Source: researchfish
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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, CPn 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 CP3. 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.
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