Anomalies, Gauss laws, and Page charges in M-theory

Abstract

We review the E(8) model of the M-theory 3-form and its applications to anomaly cancellation, Gauss laws, quantization of Page charge, and the 5-brane partition function. We discuss the potentially problematic behavior of the model under parity.

14 pp., Talk presented at Strings 2004, Paris, July 1

References in corpus (4)

• Setting the quantum integrand of M-theory
• K-Theory from a physical perspective
• Quadratic functions in geometry, topology,and M-theory
• The M-theory 3-form and E8 gauge theory

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• Heisenberg Groups and Noncommutative Fluxes
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• Holographic Action for the Self-Dual Field
• On the 6d origin of discrete additional data of 4d gauge theories
• IIB flux non-commutativity and the global structure of field theories
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• Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• All-fermion electrodynamics and fermion number anomaly inflow
• Gauge Backgrounds and Zero-Mode Counting in F-Theory
• A gauge theory generalization of the fermion-doubling theorem
• Chow groups, Deligne cohomology and massless matter in F-theory
• Conformal blocks for AdS5 singletons
• Twisted Cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
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• M-theory and Characteristic Classes
• The global anomaly of the self-dual field in general backgrounds
• 6D SCFTs and Gravity
• Duality and cohomology in M-theory with boundary
• Automorphic Instanton Partition Functions on Calabi-Yau Threefolds
• E8 Gauge Theory and Gerbes in String Theory
• Flux Quantization
• Flux and Freund-Rubin Superpotentials in M-theory
• Flux corrections to anomaly cancellation in M-theory on a manifold with boundary
• Canonical quadratic refinements of cohomological pairings from functorial lifts of the Wu class
• Non-Invertible Gauss Law and Axions
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• Generalized symmetry constraints on deformed 4d (S)CFTs
• d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088
• Global anomalies and chiral p-forms
• Symmetry TFTs from String Theory