The self-dual Chern-Simons $CP(N)$ models

Abstract

We study the Chern-Simons $CP(N)$ models with a global $U(1)$ symmetry and found the self-dual models among them. The Bogomolnyi-type bound in these self-dual models is a nontrivial generalization of that in the pure $CP(N)$ models. Our models have quite a rich vacuum and soliton structure and approach the many known gauged self-dual models in some limit.

RevTeX files, no figure, 12 pages

References in corpus (5)

• 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
• Skyrme-Maxwell Solitons in (2+1) Dimensions
• Self-DUal SU(3) Chern-Simons Higgs Systems
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Cited by in corpus (6)

• Topological solitons in Chern-Simons theories for double-layer fractional quantum Hall effect
• Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• A note on the existence of soliton solutions in the Chern-Simons-CP(1) model
• Bogomol'nyi Solitons and Hermitian Symmetric Spaces
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term