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

preprint2018arXivOpen access

Abstract

We study superpaticle models with fermionic gauge symmetry on the coset spaces of the SU(1,1∣N)SU(1,1|N) supergroup. We first construct SU(1,1∣N)SU(1,1|N) supersymmetric extension of a particle on AdS2AdS_2 possessing the κκ-symmetry. Including angular degrees of freedom and extending this model to a superparticle on the AdS2×CPN−1AdS_2\times \mathbb{CP}^{N-1} background with two-form flux, one breaks the κκ-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.

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