Hypergravity in AdS_3
Abstract
Thirty years ago Aragone and Deser showed that in three dimensions there exists a consistent model describing interaction for massless spin-2 and spin-5/2 fields. It was crucial that these fields lived in a flat Minkowski space and as a result it was not possible to deform such model into anti-de Sitter space. In this short note we show that such deformation becomes possible provided one compliment to the model with massless spin-4 field. Resulting theory can be considered as a Chern-Simons one with a well-known supergroup OSp(1,4). Moreover there exists straightforward generalization to the OSp(1,2n) case containing a number of bosonic fields with even spins 2,4,...,2n and one fermionic field with spin n+1/2.
Cite
@article{arxiv.1408.2912,
title = {Hypergravity in AdS_3},
author = {Yu. M. Zinoviev},
journal= {arXiv preprint arXiv:1408.2912},
year = {2015}
}
Comments
8 pages, no figures. One reference and some comments added. Version to appear in Phys. Lett. B