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

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arxiv 2001.00023 v2 pith:BGZYZLZQ submitted 2019-12-31 hep-th

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

Pietro Benetti Genolini , Masazumi Honda , Hee-Cheol Kim , David Tong , Cumrun Vafa This is my paper
classification hep-th
keywords non-supersymmetricdeformationsallowingbackgroundbreakingcharacterizedchern-simonscompletion
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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.

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  1. Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations

    hep-th 2026-07 accept novelty 7.0

    Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.