Self-dual Gauged $C{P}^N$ Models

Abstract

We consider a $C{P}^N$ model with the subgroup $SU(r)$ completely gauged, where $1<r<N+1$. The gauge field dynamics is solely governed by a nonabelian Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by introducing a $SU(r)$ invariant scalar potential. We obtain self-dual equations of this gauged $C{P}^N$ model and find that the energy is bounded from below by a linear combination of the topological charge and a global $U(1)$ charge present in the theory. We also discuss on the self-dual soliton solutions of this model.

12 Pages, RevTex, few minor changes have been made, to appear in Physics Letters B

References in corpus (4)

• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
• Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
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Cited by in corpus (3)

• New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
• Bogomol'nyi Solitons and Hermitian Symmetric Spaces
• Solitons in 1+1 Dimensional Gauged Sigma Models