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The Superconformal Index of the E_6 SCFT

arXiv:1003.4244 · doi:10.1007/JHEP08(2010)107

Abstract

We derive an integral representation for the superconformal index of the strongly-coupled 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.

29 pages, 7 figures