Implications of N $$ mathcal{N} $$ = 5, 6 superconformal symmetry in three spacetime dimensions

For general $$ mathcal{n} $$ = 5 and $$ mathcal{n} $$ = 6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. in each case, $$ mathcal{n} $$ = 5 and $$ mathcal{n} $$ = 6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal ward identities, to the parameter in the two-point function of the supercurrent. the structure of the correlation functions obtained is consistent with the property that every $$ mathcal{n} $$ = 5 superconformal field theory, considered as a special $$ mathcal{n} $$ = 4 theory, is invariant under the mirror map.