Relation Between Different Auxiliary Field Formulations of $N=1$ Supergravity Coupled to Matter

Ferrara, S.; Girardello, L.; Kugo, T.; Van Proeyen, Antoine

doi:10.1016/0550-3213(83)90101-3

Relation Between Different Auxiliary Field Formulations of $N=1$ Supergravity Coupled to Matter

Feb, 1983

27 pages

Published in:

Nucl.Phys.B 223 (1983) 191-217

Published: 1983

DOI:

10.1016/0550-3213(83)90101-3

Report number:

CERN-TH-3523

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Abstract: (Elsevier)

We establish the connection between the old minimal set of auxiliary fields, the new minimal set and the Breitenlohner set. We show that the class of interactions which can be described by the latter two sets are particular cases of the interactions described in the old minimal set. The old and new minimal sets of auxiliary fields are equivalent for R -symmetric lagrangians. The precise correspondence of the bosonic part of the lagrangians in the two minimal formulations is exhibited. In particular, this equivalence shows that one can have both a Fayet-Iliopoulos term and spontaneously broken supersymmetry with vanishing cosmological constant.

SUPERSYMMETRY: MULTIPLET
MULTIPLET: SUPERSYMMETRY
SUPERSYMMETRY: SUPERGRAVITY
GAUGE FIELD THEORY: U(1)
GAUGE FIELD THEORY: YANG-MILLS
INVARIANCE: CONFORMAL
POTENTIAL
COSMOLOGICAL CONSTANT
MODEL: POTENTIAL

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Relation Between Different Auxiliary Field Formulations of N=1N=1N=1 Supergravity Coupled to Matter

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