Anomalies of QFTs from M-theory and Holography

Abstract

We describe a systematic way of computing the 't Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms of the geometric definition of the field theory. In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in $N$. We study several classes of examples in four and six dimensions, with or without known M5-brane probe configurations.

31 pages plus appendices

References in corpus (4)

• Generalized Global Symmetries
• Four-Dimensional SCFTs from M5-Branes
• Anomaly polynomial of general 6d SCFTs
• AdS spacetimes from wrapped M5 branes

Cited by in corpus (26)

• Non-Invertible Symmetries from Holography and Branes
• Symmetry TFTs for 3d QFTs from M-theory
• Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
• M5-branes wrapped on a spindle
• Rotating multi-charge spindles and their microstates
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Holographic Duals of Argyres-Douglas Theories
• Equivariant localization in supergravity
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Anomalies, Black strings and the charged Cardy formula
• Defect $a$-Theorem and $a$-Maximization
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• Holographic duals of M5-branes on an irregularly punctured sphere
• Equivariant localization for AdS/CFT
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• M5-branes Probing Flux Backgrounds
• Aspects of Irregular Punctures via Holography
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Wrapped Branes and Punctured Horizons
• Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
• Holographic Generalised Gukov-Witten Defects
• The Geometry of Decoupling Fields
• Rank $Q$ E-String on Spheres with Flux
• Consistent truncations from the geometry of sphere bundles
• Symmetry TFTs from String Theory
• Aspects of 4d supersymmetric dynamics and geometry