Aspects of Irregular Punctures via Holography

TL;DR

This paper constructs new $AdS_5$ solutions in M-theory with 4d ${ m extbf{N=2}}$ supersymmetry, linking them to Argyres-Douglas SCFTs with irregular punctures in class $ extbf{ ext{S}}$, and analyzes their holographic observables.

Contribution

It introduces new M-theory $AdS_5$ solutions with irregular punctures, providing detailed holographic analysis and matching with class $ extbf{ ext{S}}$ data, including Higgs branch operators.

Findings

Explicit $AdS_5$ solutions with irregular punctures in M-theory.

Matching of gravity solutions with class $ extbf{ ext{S}}$ puncture data.

Identification of Higgs branch operators in dual SCFTs.

Abstract

We present new families of $AdS_5$ 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.