An $$ \mathcal{N} $$ = 1 Lagrangian for the rank 1 E6 superconformal theory
Gabi Zafrir
Abstract
A bstract We propose that a certain 4 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 SU(4) gauge theory flows in the IR to the rank 1 $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 strongly coupled SCFT with E 6 global symmetry and 25 free chiral fields. This proposal is tested by comparing various RG invariant quantities, notably, anomalies and the superconformal index. We discuss the generalization to $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 SU(2 n + 2) gauge theory models flowing in the IR to the R (2 , 2 n +1) family of strongly coupled SCFTs plus free fields.