Generalized self-dual Maxwell-Chern-Simons-Higgs model

Abstract

We present a consistent BPS framework for a generalized Maxwell-Chern-Simons-Higgs model. The overall model, including its self-dual potential, depends on three different functions, h(|ϕ|,N), w(|ϕ|) and G(|ϕ|), which are functions of the scalar fields only. The BPS energy is proportional to the magnetic flux when w(|ϕ|) and G(|ϕ|) are related to each other by a differential constraint. We present an explicit non-standard model and its topologically non-trivial static configurations, which are described by the usual radially symmetric profile. Finally, we note that the non-standard results behave in a similar way as their standard counterparts, as expected, reinforcing the consistence of the overall construction.

6 pages, 5 figures

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• Self-dual effective compact and true compacton configurations in generalized Abelian Higgs models
• Topological duality between vortices and planar skyrmions in BPS theories with APD symmetries
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• Galilean symmetry in generalized abelian Schrödinger-Higgs models with and without gauge field interaction
• Self-dual configurations in a generalized Abelian Chern-Simons-Higgs model with explicit breaking of the Lorentz covariance
• First order framework for vortices in generalized Maxwell-Chern-Simons models without a neutral field