A "Lagrangian" for a non-Lagrangian theory

TL;DR

This paper proposes an N=1 Lagrangian that flows to a specific N=2 superconformal field theory with E_6 symmetry, enabling the computation of various supersymmetric partition functions.

Contribution

It introduces a novel N=1 Lagrangian description for a non-Lagrangian N=2 SCFT, facilitating new calculations.

Findings

Derived supersymmetric partition functions for the theory

Established a Lagrangian flow to the E_6 symmetric SCFT

Provided a new computational framework for non-Lagrangian theories

Abstract

We suggest an N=1 Lagrangian flowing in the infra-red to the N=2 rank one superconformal field theory with E_6 flavor symmetry. We utilize this description to compute several supersymmetric partition functions.