Conformal supergravities as Chern-Simons theories revisited

TL;DR

This paper introduces a superfield approach using superforms to construct off-shell actions for N-extended conformal supergravity in three dimensions, offering new formulations for conformal and topologically massive supergravities.

Contribution

It presents a novel superfield method employing superforms to systematically build off-shell actions for conformal supergravity theories in three dimensions.

Findings

New superfield construction for N=1 conformal supergravity

Explicit actions for conformal and topologically massive supergravities

Enhanced understanding of supersymmetric invariants in supergravity

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.