Higgs- and Skyrme-Chern-Simons densities in all dimensions

Abstract

Two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are proposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a Higgs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding these new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.

20 pages, no figures

References in corpus (1)

• A non-Abelian Chern-Simons--Yang-Mills-Higgs system in 3+1 dimensions

Cited by in corpus (9)

• The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices
• Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions
• On the topological charge of $SO(2)$ gauged Skyrmions in $2+1$ and $3+1$ dimensions
• Chern-Simons Gravities (CSG) and Gravitational Chern-Simons (GCS) densities in all dimensions
• Some aspects of Skyrme--Chern-Simons densities
• On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in $d=4+1$ dimensions
• $SO(2)$ gauged Skyrmions in $4+1$ dimensions
• A remark on black holes of Chern-Simons gravities in $2n+1$ dimensions: $n=1,2,3$
• A Higgs--Chern-Simons gravity model in 2+1 dimensions