Inconsistency of topologically massive hypergravity

Details Inconsistency of topologically massive hypergravity Inconsistency of topologically massive hypergravity

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2l..29a&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, March 1, 1985, p. L29-L31. NASA-supported research; Consejo Nacional de

Mathematics

Logic

2

Gauge Invariance, Gravitation Theory, Spin Dynamics, Unified Field Theory, Fermions, Quantum Theory, Spin-Spin Coupling, Tensor Analysis, Topology

Scientific paper

The coupled topologically massive spin-5/2 gravity system in D = 3 dimensions whose kinematics represents dynamical propagating gauge invariant massive spin-5/2 and spin-2 excitations, is shown to be inconsistent, or equivalently, not locally hypersymmetric. In contrast to D = 4, the local constraints on the system arising from failure of the fermionic Bianchi identities do not involve the 'highest spin' components of the field, but rather the auxiliary spinor required to construct a consistent massive model.

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