Higher-derivative superparticle in AdS${}_3$ space

Abstract

Employing the coset approach we construct component actions for a superparticle moving in AdS${}_3$ with $N=(2,0)$, $D=3$ supersymmetry partially broken to $N=2$, $d=1$. These actions may contain higher time-derivative terms, which are chosen to possess the same (super)symmetries as the free superparticle. In terms of the nonlinear-realization superfields, the component actions always take a simpler form when written in terms of covariant Cartan forms. We also consider in detail the reduction to the nonrelativistic case and construct the corresponding action a Newton-Hooke superparticle and its higher-derivative generalizations. The structure of these higher time-derivative generalizations is completely fixed by invariance under the supersymmetric Newton-Hooke algebra extended by two central charges.

17 pages

References in corpus (4)

• Galileons as Wess-Zumino Terms
• (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
• Scalar Field Theories with Polynomial Shift Symmetries
• The Non-Relativistic Superparticle in a Curved Background

Cited by in corpus (2)

• Coset construction of AdS particle dynamics
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$