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arXiv · 1810.01626

On $OSp(N|2)$ superconformal mechanics

Dmitry Chernyavsky
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Abstract

Superparticle models with $OSp(N|2)$ supersymmetry group are studied. We first consider the $N=4$ case and construct the models with $\kappa$-symmetry on the coset spaces of the $OSp(4|2)$ supergroup. In addition, within the canonical formalism we present an $OSp(4|2)$ superparticle model with semi-dynamical angular variables. For generic $N$ we construct a superparticle model on $AdS_2\times S^{N-1}$ with the reduced $\kappa$-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the $N=4$ case because additional fermions contribute to the second-class constraints only.

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Dmitry Chernyavsky. 2018-10-03. On $OSp(N|2)$ superconformal mechanics. https://doi.org/10.1007/jhep02(2019)170

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