Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index

TL;DR

This paper constructs an N=1 gauge theory that flows to the Argyres-Douglas N=2 superconformal theory in the infrared, and computes its superconformal index, confirming known results.

Contribution

It introduces a new N=1 gauge theory deformation that reproduces the Argyres-Douglas theory and calculates its superconformal index.

Findings

The gauge theory flows to the Argyres-Douglas fixed point.

The superconformal index matches known results in special limits.

Provides a new perspective on supersymmetry enhancement via RG flow.

Abstract

We find a four-dimensional N=1 gauge theory which flows to the minimal interacting N=2 superconformal field theory, the Argyres-Douglas theory, in the infrared up to the extra free chiral multiplets. The gauge theory is obtained from a certain N=1 preserving deformation of the N=2 SU(2) gauge theory with four fundamental hypermultiplets. From this description, we compute the full superconformal index and find agreements with the known results in special limits.