Compactifications of $6d$ $ \mathcal{N} =(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes

DOI10.1007/JHEP04(2019)006zbMATH Open1415.81105arXiv1812.04637OpenAlexW3103731916MaRDI QIDQ2421605

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Publication date: 17 June 2019

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Abstract: We consider compactifications of very Higgsable 6d $N=(1,0)$ SCFTs on $T^2$ 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 $S^1$ compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d $N=2$ SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 $N=2$ SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry $mathfrak{e}_8$, $mathfrakusp(10)$, $mathfraksu(4)$ and $mathfraksu(3)$ 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 $N=2$ theories obtained by $T^2$ compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.

Full work available at URL: https://arxiv.org/abs/1812.04637

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