Dyonic Instantons in 5-dim Yang-Mills Chern-Simons Theories

TL;DR

This paper investigates dyonic instantons in five-dimensional supersymmetric Yang-Mills theories with Chern-Simons terms, analyzing their field structures and moduli space dynamics using ADHM data, revealing an effective magnetic field induced by the Chern-Simons term.

Contribution

It provides a detailed analysis of the impact of Chern-Simons terms on dyonic instantons and their moduli space in 5D supersymmetric Yang-Mills theories, including the derivation of an effective magnetic field.

Findings

Chern-Simons term induces an effective magnetic field on the instanton moduli space.

Detailed structure of dyonic instantons in 5D supersymmetric Yang-Mills theories.

Moduli space dynamics characterized using ADHM data.

Abstract

We consider the BPS dyonic instantons in the 5-dim supersymmetric Yang-Mills Chern-Simons theories. Its field theoretic structures and the moduli space dynamics in term of the ADHM data have been explored in detail. We find that the field theoretic Chern-Simons term leads to an effective magnetic field on instanton moduli space.