Item

Abstract

We show that consistent interactions of a spin-2 and a higher-spin Majorana
fermion gauge fields in 3D flat space lead uniquely to Aragone-Deser
hypergravity or its generalization. Our analysis employs the BRST-cohomological
techniques, and works in the metric-like formulation under the assumptions of
locality, parity and Poincar\'e invariance. Local hypersymmetry shows up as the
unique consistent deformation of the gauge transformations. An extension of the
theory with fermion flavors does not change these features, while a
cosmological deformation becomes obstructed in the absence of other degrees of
freedom and/or non-locality.