Aspects of Irregular Punctures via Holography

Abstract

We present new families of $Ad{S}_5$ solutions in M-theory preserving 4d $\mathcal{N}=2$ supersymmetry. We perform a systematic analysis of holographic observables for these solutions, providing evidence for an interpretation in terms of 4d superconformal field theories (SCFTs) of Argyres-Douglas type, realized in class $\mathcal{S}$ via a sphere with one irregular, and one regular puncture. The gravity solutions exhibit internal M5-brane sources that correspond to the irregular puncture. For a family of solutions, we identify explicitly the class $\mathcal{S}$ puncture data and perform a detailed match, including Higgs branch operators. For other families we comment on proposed field theory duals, based on irregular punctures labeled by nested Young tableaux.

arXiv comment50 pages plus appendices, 11 figures

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• Holographic Generalised Gukov-Witten Defects
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Marginally deformed AdS${}_5$/CFT${}_4$ Backgrounds in Type IIB