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

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.

arXiv commentv3: Improved discussion, fixed typos, added references v2: Typos fixed and added references. v1: 96 pages. Based on a series of lectures at the Quantum Field Theories and Geometry School in July 2020

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Cited by in corpus (4)

• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Linear Quivers at Large-$N$
• Disconnected gauge groups in the infrared