Timothy J. Hollowood and J. Luis Miramontes JHEP04(2009)060 doi:10.1088/1126-6708/2009/04/060
Magnons, their solitonic avatars and the Pohlmeyer reduction
Timothy J. Hollowooda and J. Luis Miramontesb
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Pn 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 Bäcklund, 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 P3. 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.
- Keywords
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AdS-CFT and dS-CFT Correspondence
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E-print Number: 0902.2405
Cited: by |
Refers: to
- PACS
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11.10.Lm Nonlinear or nonlocal theories and models
- Subjects
- Dates
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Issue 04 (April 2009)
Received 6 March 2009, accepted for publication 23 March 2009
Published 15 April 2009
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Magnons, their solitonic avatars and the Pohlmeyer reduction
Timothy J. Hollowood and J. Luis Miramontes JHEP04(2009)060
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