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arXiv · 2205.03411

6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications

Jonathan J. Heckman·Craig Lawrie·Ling Lin·Hao Y. Zhang·Gianluca Zoccarato
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Abstract

The center-flavor symmetry of a gauge theory specifies the global form of consistent gauge and flavor bundle background field configurations. For 6d gauge theories which arise from a tensor branch deformation of a superconformal field theory (SCFT), we determine the global structure of such background field configurations, including possible continuous Abelian symmetry and R-symmetry bundles. Proceeding to the conformal fixed point, this provides a prescription for reading off the global form of the continuous factors of the zero-form symmetry, including possible non-trivial mixing between flavor and R-symmetry. As an application, we show that this global structure leads to a large class of 4d $\mathcal{N} = 2$ SCFTs obtained by compactifying on a $T^2$ in the presence of a topologically non-trivial flat flavor bundle characterized by a 't Hooft magnetic flux. The resulting "Stiefel--Whitney twisted" compactifications realize several new infinite families of 4d $\mathcal{N} = 2$ SCFTs, and also furnish a 6d origin for a number of recently discovered rank one and two 4d $\mathcal{N} = 2$ SCFTs.

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Jonathan J. Heckman, Craig Lawrie, Ling Lin, Hao Y. Zhang, Gianluca Zoccarato. 2022-09-14. 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications. https://doi.org/10.1103/physrevd.106.066003

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