Aspects of irregular punctures via holography

Abstract

Abstract We present new families of AdS 5 solutions in M-theory preserving 4d N $$ \mathcal{N} $$ = 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 S $$ \mathcal{S} $$ 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 S $$ \mathcal{S} $$ 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.

Keywords

• AdS-CFT Correspondence
• M-Theory
• Supersymmetric Gauge Theory