Invariants for minimal conformal supergravity in six dimensions

Abstract

We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D $\mathcal{N}=(1,0)$ superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D $\mathcal{N}=(1,0)$ conformal supergravity, which contain $C^3$ and $C\square C$ terms at the component level. Using a conformal supercurrent analysis, we prove that these exhaust all such invariants in minimal conformal supergravity. Finally, we show how to construct the supersymmetric $F\square F$ invariant in curved superspace.

52 pages; V2: published version

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