Conformal supergravities as Chern-Simons theories revisited

Abstract

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is specifically applied to the case of N=1 conformal supergravity and provides a new realization for the actions of conformal and topologically massive supergravities.

26 pages; V3: typos in eqs. (3.8) and (3.10b) corrected

References in corpus (3)

• The linear multiplet and ectoplasm
• Prepotentials for N=2 conformal supergravity in three dimensions
• Superform formulation for vector-tensor multiplets in conformal supergravity

Cited by in corpus (25)

• Conformal supergravity in five dimensions: New approach and applications
• Conformal supergravity in three dimensions: New off-shell formulation
• Conformal supergravity in three dimensions: Off-shell actions
• Off-shell massive N=1 supermultiplets in three dimensions
• Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography
• N=6 superconformal gravity in three dimensions from superspace
• Three-dimensional N=2 supergravity theories: From superspace to components
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Higher derivative couplings and massive supergravity in three dimensions
• Higher spin super-Cotton tensors and generalisations of the linear-chiral duality in three dimensions
• Conformal geometry and (super)conformal higher-spin gauge theories
• Topologically massive higher spin gauge theories
• Supergravity-matter actions in three dimensions and Chern-Simons terms
• On supersymmetric Chern-Simons-type theories in five dimensions
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Uses of Killing and Killing-Yano Tensors
• Killing-Yano Cotton Currents
• The Hamiltonian Form of Topologically Massive Supergravity
• Higher-spin Cotton tensors and massive gauge-invariant actions in AdS${}_3$
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Local supertwistors and conformal supergravity in six dimensions
• Anomalies and Supersymmetry
• Nonlinear realisation approach to topologically massive supergravity
• Superconformal field theory in three dimensions: Correlation functions of conserved currents