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

Aug, 2005
9 pages
Published in:
  • Czech.J.Phys. 55 (2005) 1357-1364
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Abstract:
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.
  • supersymmetric mechanics
  • nonlinear off-shell constraints
  • Eguchi-Hanson sigma model
  • hyper Kahler manifold
  • sigma model: nonlinear
  • dimension: 1
  • mechanics: classical
  • supersymmetry
  • field theory: action
  • constraint: nonlinear