Abstract
Unitarity requires a modification of the Faddeev-Popov quantization rules for Poincaré supergravity in the second-order formalism. In particular a four-ghost coupling is needed. By introducing a scalar, a pseudoscalar and an axial vector auxiliary field, the gauge algebra closes and ordinary Faddeev-Popov quantization is applicable. Elimination of the auxiliary fields after quantization reproduces the four-ghost coupling.
The status of the renormalizability of Poincaré supergravity is reviewed. The crucial question of three-loop finiteness is still unresolved. An explicit calculation of photon-photon scattering in the 0(8) model is presented.
The gauge action of conformal supergravity is discussed. It arises naturally from gauging the graded conformal group, provided three constraints are imposed. These constraints turn out to be model-independent and to have a geometrical meaning. The gauge algebra closes and a connection between Poincaré and conformal supergravity arises.
On leave from the Institute of Theoretical Physics, State University of New York, Stony Brook, N.Y. 11790
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van Nieuwenhuizen, P. (1978). Covariant Quantization of Supergravity. In: Perlmutter, A., Scott, L.F. (eds) New Frontiers in High-Energy Physics. Studies in the Natural Sciences, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2865-0_19
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