The superconformal index of the \(E_{6}\) SCFT. (English) Zbl 1290.81064
Summary: We derive an integral representation for the superconformal index of the strongly-coupled \( \mathcal{N} = 2 \) superconformal field theory with \(E_{6}\) flavor symmetry. The explicit expression of the index allows highly non-trivial checks of Argyres-Seiberg duality and of a class of S-dualities conjectured by Gaiotto.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T45 | Topological field theories in quantum mechanics |
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