title: Search for a Minimal N=1 Superconformal Field Theory in 4D.
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.
authors.affiliation: Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts 02138, USA.|Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Dan
authors.initials: D
authors.lastname: Xie
authors.affiliation: Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan.
authors.forename: Kazuya
authors.initials: K
authors.lastname: Yonekura