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arXiv · 1408.2912

Hypergravity in AdS_3

Yu. M. Zinoviev
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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.

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Yu. M. Zinoviev. 2014-10-25. Hypergravity in AdS_3. https://doi.org/10.1016/j.physletb.2014.10.041

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