A search for minimal 4d N=1 SCFT

TL;DR

This paper proposes a candidate for a minimal interacting 4D N=1 superconformal field theory characterized by a specific chiral primary operator, derived from a deformation of an N=2 theory, with unique properties such as finite chiral ring and no moduli space.

Contribution

It introduces a new minimal 4D N=1 SCFT model with a unique chiral ring relation, derived from N=2 deformation, and provides detailed central charge and operator dimension data.

Findings

The model has a chiral primary operator u with (u)=1.5.

The central charges are (a,c)=(263/768, 271/768).

The chiral ring is finite with no moduli space or flavor symmetry.

Abstract

We discuss a candidate for a minimal interacting 4-dimensional N=1 superconformal field theory (SCFT). The model contains a chiral primary operator u satisfying the chiral ring relation u^2=0, and its scaling dimension is \Delta(u)=1.5. The model is derived by turning on a N=1 preserving deformation of N=2 A2 Argyres-Douglas theory. The central charges are given by (a,c)=(263/768, 271/768) ~ (0.342,0.353). There is no moduli space of vacua, no flavor symmetry, and the chiral ring is finite.