Abstract
We consider compactifications of very Higgsable 6d\( \mathcal{N} \)=(1, 0) SCFTs on T2 with non-trivial Stiefel-Whitney classes (or equivalently ’t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S1 compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d \( \mathcal{N} \)=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 \( \mathcal{N} \)=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry \( \mathfrak{e} \)8, \( \mathfrak{u}\mathfrak{s}\mathfrak{p} \)(10), \( \mathfrak{s}\mathfrak{u} \)(4) and \( \mathfrak{s}\mathfrak{u} \)(3) can be uniformly obtained by starting from a single-tensor theory in 6d.
We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4d\( \mathcal{N} \)=2 theories obtained by T2 compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.
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Ohmori, K., Tachikawa, Y. & Zafrir, G. Compactifications of 6d\( \mathcal{N} \) = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes. J. High Energ. Phys. 2019, 6 (2019). https://doi.org/10.1007/JHEP04(2019)006
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DOI: https://doi.org/10.1007/JHEP04(2019)006