A New and Elementary CP^n Dyonic Magnon

Details A New and Elementary CP^n Dyonic Magnon A New and Elementary CP^n Dyonic Magnon

2009-05-15

arxiv.org/abs/0905.2534v2

JHEP 0908:109,2009

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, JHEP3, typos corrected

Scientific paper

10.1088/1126-6708/2009/08/109

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.

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