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Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond

Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond

An extension of the Poincaré group with half-integer spin generators is explicitly constructed. We start discussing the case of three spacetime dimensions, and as an application, it is shown that hypergravity can be formulated so as to incorporate this structure as its local gauge symmetry. Since the algebra admits a …