Instantonic dyons of Yang-Mills--Chern-Simons models in d=2n+1 dimensions, n>2

TL;DR

This paper studies finite energy, static, spherically symmetric solutions called instantonic dyons in higher-dimensional Yang-Mills--Chern-Simons models, specifically in dimensions 7 and 9, revealing how electric charge relates to the Chern-Simons coupling.

Contribution

It provides a systematic analysis of instantonic dyons in all odd dimensions greater than five, with explicit results for seven and nine dimensions, extending understanding of these solutions.

Findings

Finite energy solutions exist in all odd dimensions d=2n+1, n>2.

Electric charge is determined by the Chern-Simons coupling constant.

Explicit solutions are constructed for 7 and 9-dimensional spacetimes.

Abstract

We investigate finite energy solutions of Yang-Mills--Chern-Simons systems in odd spacetime dimensions, d=2n+1, with n>2. This can be carried out systematically for all n, but the cases n=3,4 corresponding to a 7,8 dimensional spacetime are treated concretely. These are static and spherically symmetric configurations, defined in a flat Minkowski background. The value of the electric charge is fixed by the Chern-Simons coupling constant.