Higher-derivative N=4 superparticle in three-dimensional spacetime

Abstract

Using the coset approach (nonlinear realization) we construct component actions for a superparticle in three-dimensional spacetime with N=4 supersymmetry partially broken to N=2. These actions may contain an anyonic term and the square of the first extrinsic worldline curvature. We present the supercharges for the unbroken and broken supersymmetries as well as the Hamiltonian for the supersymmetric anyon. In terms of the nonlinear realization superfields, the superspace actions take a simple form in all cases.

1+13 pages, no figures

References in corpus (3)

• The construction of brane and superbrane actions using non-linear realisations
• Supersymmetric component actions via coset approach
• Partial breaking of global supersymmetry and super particle actions

Cited by in corpus (5)

• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Coset construction of AdS particle dynamics
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Superfield approach to higher derivative N=1 superconformal mechanics
• Higher-derivative superparticle in AdS${}_3$ space