Abstract
We discuss a candidate for a minimal interacting four-dimensional N=1 superconformal field theory. The model contains a chiral primary operator u satisfying the chiral ring relation u^{2}=0, and its scaling dimension is Δ(u)=1.5. The model is derived by turning on a N=1 preserving deformation of N=2 A_{2} 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.
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