The superconformal index of the E6 SCFT

By Abhijit Gadde, L. Rastelli, Shlomo S. Razamat, Wenbin Yan. 2010

145 citations recorded by the source corpus.

We derive an integral representation for the superconformal index of the strongly-coupled $ \mathcal{N} = 2 $ superconformal field theory with E6 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c5fbaa985bbee452a06dd01713cadcffc2df6429

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Citations in the corpus

Superconformal indices of three-dimensional theories related by mirror symmetry (2011, methodology): “Various developments and applications of this technique are described in [7–15].”
Gauge Theories and Macdonald Polynomials (2011, methodology): “We expanded the above expression in power series in τ and found a perfect match with [15].”
N=1 Deformations and RG Flows of N=2 SCFTs (2016, methodology): “There is an N = 1 gauge theory flows to this N = 2 E6 SCFT in the infrared [47], which provides a physical interpretation of the computation of the superconformal index done in [48].”
Tinkertoys for Gaiotto duality (2010, background): “It would be interesting to compare the superconformal indices [ 19 ] of the interacting SCFTs, that we have found, to provide a more detailed test of some of these dualities.”
Mirrors of 3d Sicilian theories (2010, background): “their gravity dual [4] and a IIB brane realization [5] have been found, their superconformal indices have been studied [6, 7], the theories have been extended to the case with orientifolds [8, 9], or lower N = 1 supersymmetry [10, 11], etc.”
Knot Homology from Refined Chern-Simons Theory (2011, unknown): “24 See also [86],[87], for previous work.”
N=1 theories of class S_k (2015, methodology): “This is the same inversion procedure used in [11] to obtain the index of the T3 theory.”
Rigid supersymmetric theories in curved superspace (2011, methodology): “This fact has allowed [23,24,26-34] to compute Z”
A& B model approaches to surface operators and Toda thoeries (2010, background): “Not much is known about this strongly-coupled theory (see however [55] for a recent result).”
Reducing the 4d index to the S3 partition function (2011, methodology): “The superconformal index of N = 2 supersymmetric gauge theories was used to check N = 2 S-dualities conjectured by Gaiotto and to define a 2d topological field theory in the process [8, 9].”