Solitons in 1+1 Dimensional Gauged Sigma Models

Abstract

We study soliton solutions in 1+1 dimensional gauged sigma models, obtained by dimensional reduction from its 2+1 dimensional counterparts. We show that the Bogomol'nyi bound of these models can be expressed in terms of two conserved charges in a similar way to that of the BPS dyons in 3+1 dimensions. Purely magnetic vortices of the 2+1 dimensional completely gauged sigma model appear as charged solitons in the corresponding 1+1 dimensional theory. The scale invariance of these solitons is also broken because of the dimensional reduction. We obtain exact static soliton solutions of these models saturating the Bogomol'nyi bound.

21 pages, RevTeX, minor changes, version to appear in Physical Review D

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Cited by in corpus (2)

• New class of solutions in the non-minimal O(3)-sigma model
• Self-dual Maxwell Chern-Simons Solitons In 1+1 Dimensions