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

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.

15 pages, minor additions and changes; published version

References in corpus (8)

• Supersymmetric Calogero models by gauging
• New D(2,1;alpha) Mechanics with Spin Variables
• OSp(4|2) Superconformal Mechanics
• Self-gravitating Yang Monopoles in all Dimensions
• Second Hopf map and supersymmetric mechanics with Yang monopole
• Self-duality and supersymmetry
• Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole
• Fuzzy CP(n|m) as a quantum superspace

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