The Uniqueness of Hypergravity

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 Poincaré 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.

arXiv comment40 pages, minor changes in the text, references added

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Cited by in corpus (6)

• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Cubic interactions of arbitrary spin fields in 3d flat space
• Hypergravity in five dimensions
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• On hypersymmetry in three dimensioons
• A Comment on the Higher-Spin Gauge Models