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The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories

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arxiv 2112.14764 v3 pith:OK7OZLKV submitted 2021-12-29 hep-th

classification hep-th
keywords fieldmathcalquantumsuperconformaltheoriestheoryanalyticbasic
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abstract

Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over non-perturbative effects, yet the theory is still flexible enough to incorporate a large landscape of quantum systems. Here we aim to offer a guidebook to fundamental features of the 4d $\mathcal{N}=2$ superconformal field theories and basic tools to construct them in string/M-/F-theory. The content is based on a series of lectures at the Quantum Field Theories and Geometry School (https://sites.google.com/view/qftandgeometrysummerschool/home) in July 2020.

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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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