Invariants for minimal conformal supergravity in six dimensions

We develop a new off-shell formulation for six-dimensional conformal super-gravity 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 super-gravity, which contain c 3 and c□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□f invariant in curved superspace.