Flavor symmetries of six-dimensional $$ \mathcal{N} $$ = (1, 0) theories from AdS/CFT correspondence

We calculate the superconformal indices of a class of six-dimensional $$ \mathcal{N} $$ N = (1 , 0) superconformal field theories realized on M5-branes at ℂ 2 /ℤ k singularity by using the method developed in previous works of the authors and collaborators. We use the AdS/CFT correspondence, and finite N corrections are included as the contribution of M2-branes wrapped on two-cycles in S 4 /ℤ k . We confirm that the indices are consistent with the expected flavor symmetries.