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arXiv · 2311.12123

Simplifying the Type $A$ Argyres-Douglas Landscape

Christopher Beem·Mario Martone·Matteo Sacchi·Palash Singh·Jake Stedman
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Abstract

A well-established organisational principle for Argyres--Douglas-type $\mathcal{N}=2$ superconformal field theories in four dimensions is to characterise such theories by the data defining a(n irregular) Hitchin system on $\mathbb{CP}^1$. The dictionary between Hitchin system data and various features of the corresponding SCFT has been studied extensively, but the overall structure of the resulting space of SCFTs still appears quite complicated. In this work, we systematically delineate a variety of simplifications that arise within this class of constructions due to several large classes of isomorphisms between SCFTs associated with inequivalent Hitchin system data (and their exactly marginal gaugings). We restrict to the most studied class of theories, namely the type $A$ theories without outer automorphism twists.

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Christopher Beem, Mario Martone, Matteo Sacchi, Palash Singh, Jake Stedman. 2023-11-20. Simplifying the Type $A$ Argyres-Douglas Landscape. https://arxiv.org/abs/2311.12123

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