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A search for minimal 4d N=1 SCFT
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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.
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A landscape of 4d N=1 SCFTs with a=c
Starting from an SU(3) gauging of three D2(SU(3)) Argyres-Douglas theories with an adjoint chiral multiplet, the authors map the tree of relevant deformations that preserve a=c and find 21 fixed points, including flow...
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