The semi-classical spectrum of solitons and giant magnons
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) × SO(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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2011
- DOI:
- 10.1007/JHEP05(2011)062
- arXiv:
- arXiv:1103.3148
- Bibcode:
- 2011JHEP...05..062H
- Keywords:
-
- Solitons Monopoles and Instantons;
- AdS-CFT Correspondence;
- Integrable Field Theories;
- Sigma Models;
- High Energy Physics - Theory
- E-Print:
- 25 pages, additional references and small typos corrected. Final journal version