$SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry

TL;DR

This paper constructs superparticle models with fermionic gauge symmetry on $SU(1,1|N)$ coset spaces, extending $AdS_2$ models to include angular degrees and flux, and explores their relation to black hole near-horizon geometries.

Contribution

It introduces new superparticle models with fermionic gauge symmetry on $SU(1,1|N)$ cosets, extending previous $AdS_2$ models to include flux and angular degrees of freedom.

Findings

Constructed $SU(1,1|N)$ supersymmetric superparticle models.

Extended models to $AdS_2\times \mathbb{CP}^{N-1}$ with flux.

Linked background configurations to near-horizon black hole geometries.

Abstract

We study superpaticle models with fermionic gauge symmetry on the coset spaces of the $SU(1,1|N)$ supergroup. We first construct $SU(1,1|N)$ supersymmetric extension of a particle on $AdS_2$ possessing the $\kappa$-symmetry. Including angular degrees of freedom and extending this model to a superparticle on the $AdS_2\times \mathbb{CP}^{N-1}$ background with two-form flux, one breaks the $\kappa$-symmetry down to a fermionic gauge symmetry with one parameter. A link of the background field configuration to the near horizon black hole geometries is discussed.