Structure of Conformal Supergravity

Ferrara, S.; Zumino, B.

doi:10.1016/0550-3213(78)90548-5

Structure of Conformal Supergravity

S. Ferrara
(
- CERN
)
,
B. Zumino
(
- CERN
)

Nov, 1977

26 pages

Published in:

Nucl.Phys.B 134 (1978) 301-326

Published: 1978

DOI:

10.1016/0550-3213(78)90548-5

Report number:

CERN-TH-2418

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Abstract: (Elsevier)

We give, at the linearized level, the supersymmetric generalization of various tensors of differential geometry, such as the metric tensor and the Riemann, Einstein and Weyl tensors. Using them we write the Lagrangian and the equations of motion of linearized supergravity and conformal supergravity with coupling to sources. Both theories are shown to be globally supersymmetric and invariant under the supersymmetric extension of Einstein transformations. Conformal supergravity is also invariant under supersymmetric Weyl transformations. The Hilbert space of this theory is shown to contain, in addition to physical particles, also dipole and tripole ghost states. Their transformation properties under supersymmetry are discussed.

FIELD THEORY: SUPERSYMMETRY
GRAVITATION: SUPERSYMMETRY
INVARIANCE: CONFORMAL
ALGEBRA: WEYL
SYMMETRY: U(1)
MULTIPLET
FIELD EQUATIONS

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Figures(0)

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