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4d $\mathcal{N}=2$ S-folds

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arxiv 2001.00533 v3 pith:CQGQX7AJ submitted 2020-01-02 hep-th

classification hep-th
keywords mathcals-foldstheoriesgeneralizationrankadvantageallowsbranch
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abstract

We propose a generalization of S-folds to 4d $\mathcal{N}=2$ theories. This construction is motivated by the classification of rank one 4d $\mathcal{N}=2$ super-conformal field theories (SCFTs), which we reproduce from D3-branes probing a configuration of $\mathcal{N}=2$ S-folds combined with 7-branes. The main advantage of this point of view is that realizes both Coulomb and Higgs branch flows and allows for a straight forward generalization to higher rank theories.

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  1. Anomaly-induced vanishing of brane partition functions

    hep-th 2025-10 conditional novelty 6.0 of 10

    Anomalies imply vanishing brane partition functions; this yields unified derivations of the Freed-Witten and M5 shifted-quantization conditions and new S-fold D3-brane constraints.

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