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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

classification hep-th
keywords non-supersymmetricdeformationsallowingbackgroundbreakingcharacterizedchern-simonscompletion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Symmetry extension by condensation defects II: general dimensions and higher-groups

    hep-th 2026-07 conditional novelty 7.0

    Gauging A×B under a cubic mixed anomaly extends C (n=1) or folds C into a higher-group (n≥2), with the new factor generated by condensation defects and detected via triple-linking.

  2. 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.

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

    hep-th 2026-07 conditional novelty 6.5

    Blow-up equation prefactors encode cubic 1-form self-anomalies and mixed anomalies of 5d N=1 SCFTs, deciding 2-group vs mixed anomaly structure.