N = 4, d = 1 Supersymmetric Hyper-Kähler Sigma Models and Non-Abelian Monopole Background

We construct a Lagrangian formulation of N = 4 supersymmetric mechanics with hyper-Kähler sigma models in a bosonic sector in a non-Abelian background gauge field. The resulting action includes a wide class of N = 4 supersymmetric mechanics describing the motion of an isospin-carrying particle over...

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Bibliographic Details
Main Authors: S. Bellucci, S. Krivonos, A. Sutulin
Format: Article
Language:English
Published: CTU Central Library 2011-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1346
Description
Summary:We construct a Lagrangian formulation of N = 4 supersymmetric mechanics with hyper-Kähler sigma models in a bosonic sector in a non-Abelian background gauge field. The resulting action includes a wide class of N = 4 supersymmetric mechanics describing the motion of an isospin-carrying particle over spaces with non-trivial geometry. In two examples that we discuss in details, the background fields are identified with the field of BPST instantons in flat and Taub-NUT<br />spaces.
ISSN:1210-2709
1805-2363