English

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

High Energy Physics - Theory 2010-05-25 v2

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.

Keywords

Cite

@article{arxiv.0912.3289,
  title  = {SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description},
  author = {Evgeny A. Ivanov and Maxim A. Konyushikhin and Andrei V. Smilga},
  journal= {arXiv preprint arXiv:0912.3289},
  year   = {2010}
}

Comments

15 pages, minor additions and changes; published version

R2 v1 2026-06-21T14:24:55.075Z