Compact Chern-Simons vortices

Abstract

We introduce and investigate new models of the Chern-Simons type in the three-dimensional spacetime, focusing on the existence of compact vortices. The models are controlled by potentials driven by a single real parameter that can be used to change the profile of the vortex solutions as they approach their boundary values. One of the models unveils an interesting new behavior, the tendency to make the vortex compact, as the parameter increases to larger and larger values. We also investigate the behavior of the energy density and calculate the total energy numerically.

6 pages, 7 figures

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• Scattering of compact oscillons
• Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
• Compact-like vortices in isotropic curved spacetime
• Quasi-compact vortices
• Towards spinning $U(1)$ gauged non-topological solitons in the model with Chern-Simons term
• Vortices in vacuumless systems
• First order framework for gauge k-vortices