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

We calculate the superconformal indices of a class of six-dimensional ${\cal N}=(1,0)$ superconformal field theories realized on M5-branes at $\mathbb{C}^2/\mathbb{Z}_k$ 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 $S^4/\mathbb{Z}_k$. We confirm that the indices are consistent with the expected flavor symmetries.
18 pages, 1 figure; ver2: references added; ver3: references added, version accepted for publication in JHEP