Class $\mathcal{S}$ Anomalies from M-theory Inflow

Abstract

We present a first principles derivation of the anomaly polynomials of 4d $\mathcal{N}=2$ class $\mathcal{S}$ theories of type $A_{N-1}$ with arbitrary regular punctures, using anomaly inflow in the corresponding M-theory setup with $N$ M5-branes wrapping a punctured Riemann surface. The labeling of punctures in our approach follows entirely from the analysis of the 11d geometry and $G_4$ flux. We highlight the applications of the inflow method to the AdS/CFT correspondence.

arXiv comment5 pages, 2 figures

References in corpus (6)

• N=2 dualities
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Non-abelian Tensor-multiplet Anomalies
• A review of the T_N theory and its cousins
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
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• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• Defect $a$-Theorem and $a$-Maximization
• A slow review of the AGT correspondence
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• Wrapped Branes and Punctured Horizons
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Aspects of 4d supersymmetric dynamics and geometry