Solitons in 1+1 Dimensional Gauged Sigma Models

Details Solitons in 1+1 Dimensional Gauged Sigma Models Solitons in 1+1 Dimensional Gauged Sigma Models

1997-01-26

arxiv.org/abs/hep-th/9701132v2

Phys.Rev. D56 (1997) 5153-5159

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.56.5153

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.

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