Anomaly candidates and invariants of D=4, N=1 supergravity theories

Abstract

All anomaly candidates and the form of the most general invariant local action are given for old and new minimal supergravity, including the cases where additional Yang--Mills and chiral matter multiplets are present. Furthermore nonminimal supergravity is discussed. In this case local supersymmetry itself may be anomalous and some of the corresponding anomaly candidates are given explicitly. The results are obtained by solving the descent equations which contain the consistency equation satisfied by integrands of anomalies and invariant actions.

19 pages, LaTex, NIKHEF-H 93-12, ITP-UH 07/93

References in corpus (3)

• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity
• Antifield Dependence of Anomalies
• BRS Cohomology of the Supertranslations in D=4

Cited by in corpus (22)

• Local BRST cohomology in gauge theories
• A Cosmological Super-Bounce
• Local BRST cohomology in Einstein--Yang--Mills theory
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Local BRST cohomology in minimal D=4, N=1 supergravity
• Symplectic structure of N=1 supergravity with anomalies and Chern-Simons terms
• The Ghost Condensate in N=1 Supergravity
• Supersymmetry anomalies in $\mathcal{N}=1$ conformal supergravity
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• DBI Inflation in N=1 Supergravity
• Anomalous Supersymmetry
• Weyl transformations and trace anomalies in N=1, D=4 supergravities
• The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter
• Non-Canonical Inflation in Supergravity
• Extended BRST cohomology, consistent deformations and anomalies of four-dimensional supersymmetric gauge theories
• N=2 SYM Action as a BRST Exact Term, Topological Yang Mills and Instantons
• Supersymmetry anomalies in new minimal supergravity
• Supersymmetry anomaly in the superconformal Wess-Zumino model
• Generalized Chern-Simons Terms and Chiral Anomalies in N=1 Supersymmetry
• Anomalies and Supersymmetry
• 4D supersymmetric gauge theories of spacetime translations
• Properties of an alternative off-shell formulation of 4D supergravity