The Semi-Classical Spectrum of Solitons and Giant Magnons

Details The Semi-Classical Spectrum of Solitons and Giant Magnons The Semi-Classical Spectrum of Solitons and Giant Magnons

2011-03-16

arxiv.org/abs/1103.3148v2

JHEP 1105:062,2011

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, additional references and small typos corrected. Final journal version

Scientific paper

10.1007/JHEP05(2011)062

In this note, we summarize recent progress in constructing and then semi-classically quantizing solitons, or non-abelian Q-balls, in the symmetric space sine-Gordon theories. We then consider the images of these solitons in the related constrained sigma model, which are the dyonic giant magnons on the string theory world-sheet. Focussing on the case of the symmetric space S^5, we perform a semi-classical quantization of the solitons and magnons and show that both lead to Chern-Simons quantum mechanics on the internal moduli space which is a real Grassmannian SO(4)/SO(2)xSO(2) but---importantly---with a different coupling constant. Quantizing this system shows that both the Q-balls and magnons come in a tower of states transforming in symmetric representations of the SO(4) symmetry group; however, the former come in a finite tower whereas the latter come in the well-known infinite tower of dyonic giant magnons.

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