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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.
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http://hal.in2p3.fr/in2p3-00492913
Contributor : Dominique Girod <>
Submitted on : Thursday, June 17, 2010 - 2:09:24 PM
Last modification on : Thursday, February 7, 2019 - 4:52:42 PM

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E.A. Ivanov, M.A. Konyushikhin, A.V. Smilga. SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description. Journal of High Energy Physics, Springer, 2010, 05(2010), pp.033. ⟨10.1007/JHEP05(2010)033⟩. ⟨in2p3-00492913⟩

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