Invariants for minimal conformal supergravity in six dimensions

We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D N = ( 1; 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D 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.