Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.
Consistent couplings between a massive spin-3/2 field and a partially massless spin-2 field
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these fields and find two non-trivial cubic vertices with less than two derivatives, when going to the unitary gauge. One of the vertices is reminiscent of the minimal coupling of the massive spin-3/2 field to gravity, except that now the graviton is partially massless.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
A note on partially massless supergravity
Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.