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The Uniqueness of Hypergravity

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arxiv 1905.04109 v2 pith:L5BKAGPT submitted 2019-05-08 hep-th

Rakibur Rahman This is my paper · ORCID
classification hep-th
keywords consistentdeformationfermiongaugehypergravityabsenceanalysisaragone-deser
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 1 Pith paper

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  1. A Comment on the Higher-Spin Gauge Models

    hep-th 2024-11 accept novelty 5.0 of 10

    Higher-spin gauge models with BRST-exact cubic vertices are shown to be free off-shell: the deformed action equals the free action up to field redefinitions.

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