The Semi-Classical Spectrum of Solitons and Giant Magnons
arXiv:1103.3148 · doi:10.1007/JHEP05(2011)062
Abstract
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.
25 pages, additional references and small typos corrected. Final journal version
References in corpus (11)
- Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
- Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
- Dyonic Giant Magnons
- Pohlmeyer reduction revisited
- On reduced models for superstrings on AdS_n x S^n
- Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
- Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
- UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
- On the perturbative S-matrix of generalized sine-Gordon models
- A New and Elementary CP^n Dyonic Magnon
- Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction