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arXiv · 0912.3289

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

Evgeny A. Ivanov·Maxim A. Konyushikhin·Andrei V. Smilga
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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.

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Evgeny A. Ivanov, Maxim A. Konyushikhin, Andrei V. Smilga. 2009-12-16. SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description. https://doi.org/10.1007/jhep05(2010)033

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