Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM

Abstract

We study supersymmetry breaking deformations of the $\mathcal{N}=1$ 5d fixed point known as $E_1$, 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.

18 pages, 2 figures. v2: minor typos fixed, references added

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• Higher Symmetries of 5d Orbifold SCFTs
• Classification of 5d N=1 gauge theories
• Instantons, Symmetries and Anomalies in Five Dimensions
• Searching for gauge theories with the conformal bootstrap
• Bootstrapping BPS spectra of 5d/6d field theories
• Searching for continuous phase transitions in 5D SU(2) lattice gauge theory
• Supersymmetry breaking deformations and phase transitions in five dimensions
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Dilatonic states near holographic phase transitions
• The non-SUSY $Ad{S}_6$ and $Ad{S}_7$ fixed points are brane-jet unstable
• Comments on Global Symmetries and Anomalies of $5d$ SCFTs
• Free Energy on the Sphere for Non-Abelian Gauge Theories
• Non-supersymmetric AdS${}_6$ and the swampland
• Five-dimensional CFTs from the $\epsilon$-expansion