SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description

TL;DR

This paper develops a harmonic superspace framework for N=4 supersymmetric quantum mechanics in non-Abelian self-dual gauge fields, introducing new superfield descriptions and explicit models like the Yang monopole.

Contribution

It provides a novel superfield harmonic superspace formulation for N=4 supersymmetric systems with non-Abelian self-dual fields, including explicit examples.

Findings

Lagrangian formulation for N=4 supersymmetric systems in non-Abelian self-dual fields.

Superfield description using harmonic superspace for fields in 't Hooft ansatz.

Explicit construction of N=4 mechanics with Yang monopole.

Abstract

We present a Lagrangian formulation for N=4 supersymmetric quantum-mechanical systems describing the motion in external non-Abelian self-dual gauge fields. For any such system, one can write a component supersymmetric Lagrangian by introducing extra bosonic variables with topological Chern-Simons type interaction. For a special class of such system when the fields are expressed in the `t Hooft ansatz form, it is possible to give a superfield description using harmonic superspace formalism. As a new explicit example, the N=4 mechanics with Yang monopole is constructed.