Abstract
We find an mathcal{N}=1 gauge theory that flows to the rank-one mathcal{N}=2 superconformal field theory with E7 flavor symmetry. We first obtain a Lagrangian description for the R0,N theory, which appears in the S-dual description of the SU(N) gauge theory with 2N fundamental hypermultiplets. This is a straightforward generalization of the proposed Lagrangian description for the E6 theory. The E7 theory is then obtained via partial Higgsing of the R0,4 theory. From this Lagrangian description, we compute the full superconformal index. We also consider twisted dimensional reduction on S2 to obtain mathcal{N}=left(0,4right) theory for the E7 one instanton string and compute its elliptic genus.
Highlights
Which are realized as fixed points of adjoint SQCDs or quiver gauge theories with a number of gauge singlets, deformed by dangerously irrelevant operators [3,4,5,6,7,8,9]
We find an N = 1 gauge theory that flows to the rank-one N = 2 superconformal field theory with E7 flavor symmetry
We first obtain a Lagrangian description for the R0,N theory, which appears in the S-dual description of the SU(N ) gauge theory with 2N fundamental hypermultiplets
Summary
As in the case of [15], we can use the Spiridonov-Warnaar inversion formula to obtain the index of the R0,N theory. We present the index for the R0,4 theory up to order O(t18) in appendix B These are consistent with the chiral ring stated in the beginning of section 2.1
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