A conformal gauge theory for vector-spinors is constructed that is Weyl invariant when massless, propagates a massive spin-3/2 mode together with a negative-norm spin-1/2 state of double the mass, and satisfies the Hofman-Maldacena bound on the anomaly coefficient.
Symmetry of massive Rarita-Schwinger fields
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abstract
We derive the general lagrangian and propagator for a vector-spinor field in $d$-dimensions and show that the physical observables are invariant under the so-called point transformation symmetry. Until now the symmetry has not been exploited in any non-trival way, presumably because it is not an invariance of the classical action nor is it a gauge symmetry. Nevertheless, we develop a technique for exploring the consequences of the symmetry leading to a conserved vector current and charge. The current and charge are identically zero in the free field case and only contribute in a background such as a electromagnetic or gravitational field. The current can couple spin-3/2 fields to vector and scalar fields and may have important consequences in intermediate energy hadron physics as well as linearized supergravity. The consistency problem which plagues higher spin field theories is then discussed and and some ideas regarding the possiblity of solutions are presented.
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Non-supersymmetric spin-3/2 dark matter with baryon-violating portals can explain the relic abundance through UV and Boltzmann-suppressed freeze-in, with viable parameter space constrained by indirect detection, direct detection, and LHC monojet searches.
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Conformal gauge theory of vector-spinors and spin-3/2 particles
A conformal gauge theory for vector-spinors is constructed that is Weyl invariant when massless, propagates a massive spin-3/2 mode together with a negative-norm spin-1/2 state of double the mass, and satisfies the Hofman-Maldacena bound on the anomaly coefficient.
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Decaying spin-3/2 dark matter from baryon number violation
Non-supersymmetric spin-3/2 dark matter with baryon-violating portals can explain the relic abundance through UV and Boltzmann-suppressed freeze-in, with viable parameter space constrained by indirect detection, direct detection, and LHC monojet searches.