Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-09-24
Annals Phys. 259 (1997) 253-312
Physics
High Energy Physics
High Energy Physics - Theory
58 pages, latex 2.09, no figures; final version, minor corrections, Comment added in conclusions (footnote), refs. updated
Scientific paper
10.1006/aphy.1997.5709
The local BRST cohomology is computed in old and new minimal supergravity, including the coupling to Yang-Mills gauge multiplets. This covers the determination of all gauge invariant local actions for these models, the classification of all the possible counterterms that are invariant on-shell, of all candidate gauge anomalies, and of the possible nontrivial (continuous) deformations of the standard actions and gauge transformations. Among others it is proved that in old minimal supergravity the most general gauge invariant action can indeed be constructed from well-known superspace integrals, whereas in new minimal supergravity there are only a few additional (but important) contributions which cannot be constructed in this way without further ado. Furthermore the results indicate that supersymmetry itself is not anomalous in minimal supergravity and show that the gauge transformations are extremely stable under consistent deformations of the models. There is however an unusual deformation converting new into old minimal supergravity with local R-invariance which is reminiscent of a duality transformation.
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