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

TL;DR

This paper develops a generalized BPS framework for a Maxwell-Chern-Simons-Higgs model, introducing new functions that depend on scalar fields, and explores explicit non-standard solutions with topological properties.

Contribution

It introduces a novel generalized BPS framework with three scalar-dependent functions and provides explicit non-standard solutions, expanding the understanding of topological configurations in such models.

Findings

The model's BPS energy is proportional to magnetic flux under certain conditions.

Explicit non-standard static solutions with radial symmetry are constructed.

Non-standard solutions exhibit behavior similar to standard counterparts, confirming model consistency.

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(|{\phi}|,N), w(|{\phi}|) and G(|{\phi}|), which are functions of the scalar fields only. The BPS energy is proportional to the magnetic flux when w(|{\phi}|) and G(|{\phi}|) 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.