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

References in corpus (4)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Holography for (1,0) theories in six dimensions
• Supersymmetric States in M5/M2 CFTs
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index

Cited by in corpus (2)

• Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$