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

Abstract

We calculate the superconformal indices of a class of six-dimensional $\mathcal{N}=(1,0)$ 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

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