English

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

High Energy Physics - Theory 2020-05-20 v2

Abstract

We study superpaticle models with fermionic gauge symmetry on the coset spaces of the SU(1,1N)SU(1,1|N) supergroup. We first construct SU(1,1N)SU(1,1|N) supersymmetric extension of a particle on AdS2AdS_2 possessing the κ\kappa-symmetry. Including angular degrees of freedom and extending this model to a superparticle on the AdS2×CPN1AdS_2\times \mathbb{CP}^{N-1} background with two-form flux, one breaks the κ\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.

Keywords

Cite

@article{arxiv.1803.00343,
  title  = {$SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry},
  author = {Dmitry Chernyavsky},
  journal= {arXiv preprint arXiv:1803.00343},
  year   = {2020}
}

Comments

V2: 17 pages, presentation improved, the version to appear in JHEP