N = 4 supersymmetric Eguchi-Hanson sigma model in d = 1

• DOI: 10.1007/s10582-006-0009-6
• Publication Date: 2006-01-11T15:25:32Z
• Authors: Cestmir Burdik; Sergey Krivonos; Andrey Shcherbakov
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); FOS: Physical sciences; 0101 mathematics; 01 natural sciences

We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A particular case with Eguchi--Hanson target space is investigated in details: we present the standard and quotient approaches to get the Eguchi--Hanson model, demonstrate their equivalence, give a full set of nonlinear constraints, study their properties and give an explicit expression for the target space metric.<br/>LaTeX, 9 pages<br/>