Massive spin-3/2 models in D=2+1

We have demonstrated that the fermionic part of the so called “New Topologically Massive Supergravity”, which is of third order in derivatives, is classically equivalent to self-dual models of lower order in derivatives, forming then a sequence of self-dual descriptions SD(i), with i=1,2,3 meaning t...

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Bibliographic Details
Published in:Physics letters. B 2017-12, Vol.775, p.147-151
Main Authors: Mendonça, E.L., dos Santos, A.L.R., Lima, D.S.
Format: Article
Language:English
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Summary:We have demonstrated that the fermionic part of the so called “New Topologically Massive Supergravity”, which is of third order in derivatives, is classically equivalent to self-dual models of lower order in derivatives, forming then a sequence of self-dual descriptions SD(i), with i=1,2,3 meaning the order in derivatives of each description. We have connected all the models by symmetry arguments through a Noether Gauge Embedment approach. This is completely equivalent to what happens in the bosonic cases of spins 1, 2 and 3, so some discussion about the similarities is made along the work. An analogue version of the Fierz–Pauli theory is suggested. Then through the NGE approach a fourth order model is obtained, which in our point of view would be the analogue version of the linearized New Massive Gravity theory for spin-3/2 fermionic particles.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2017.10.062