Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM

Abstract

We study supersymmetry breaking deformations of the N$$ \mathcal{N} $$ = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can be characterized by Chern-Simons terms involving background U(1) gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in d = 4 + 1 dimensions.