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arXiv · 1803.00343

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

Dmitry Chernyavsky
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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.

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Dmitry Chernyavsky. 2018-03-01. $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry. https://doi.org/10.1007/jhep04(2018)009

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