Hypersymmetric extensions of Maxwell-Chern-Simons gravity in 2+1 dimensions

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Caroca, Ricardo
Concha, Patrick
Matulich, Javier
Rodriguez, Evelyn
Tempo, David
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PHYSICAL REVIEW D,Vol.104,,2021
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Abstract
We present a consistent way of coupling three-dimensional Maxwell-Chern-Simons gravity theory with massless spin-5/2 gauge fields. We first introduce the simplest hyper-Maxwell-Chern-Simons gravity generically containing two massless spin-2 fields coupled with a massless Majorana fermion of spin 5/2 whose novel underlying superalgebra is explicitly constructed. We then present three alternative hypersymmetric extensions of the Maxwell algebra which are shown to emerge from the Inonu-Wigner contraction procedure of precise combinations of the osp(1 vertical bar 4) and the sp(4) algebras. This allows us to construct distinct types of hyper-Maxwell-Chern-Simons theories that extend to include generically interacting nonpropagating spin-4 fields accompanied by one or two spin-5/2 gauge fields.
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