Symmetries of generalized soliton models and submodels on target space $S^2$

Abstract

Some physically relevant non-linear models with solitons, which have target space $S^2$, are known to have submodels with infinitly many conservation laws defined by the eikonal equation. Here we calculate all the symmetries of these models and their submodels by the prolongation method. We find that for some models, like the Baby Skyrme model, the submodels have additional symmetries, whereas for others, like the Faddeev--Niemi model, they do not.

18 pages, one Latex file

Cited by in corpus (7)

• Compact boson stars in K field theories
• Toroidal Solitons in Nicole-type Models
• Generalized Eikonal Knots and New Integrable Dynamical Systems
• Generalized integrability conditions and target space geometry
• Pullback of the Volume Form, Integrable Models in Higher Dimensions and Exotic Textures
• Integrability in Theories with Local U(1) Gauge Symmetry
• Integrability and Diffeomorphisms on Target Space