Some comments on 6d global gauge anomalies

2020/12/21 by Yasunori Lee, Lee, Yasunori, Tachikawa, Yuji · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2012.11622

openalex publication_date 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Global gauge anomalies in 6d associated with non-trivial homotopy groups π₆(G) for G=SU(2), SU(3), and G₂ were computed and utilized in the past. In the modern bordism point of view of anomalies, however, they come from the bordism groups Ω^spin₇(BG), which are in fact trivial and therefore preclude their existence. Instead, it was noticed that a proper treatment of the 6d Green-Schwarz mechanism reproduces the same anomaly cancellation conditions derived from π₆(G). In this paper, we revisit and clarify the relation between these two different approaches.

Citations

• Holographic Action for the Self-Dual Field
• On flux quantization in M-theory and the effective action
• Anomaly inflow and p-form gauge theories

Cited by

• Global anomalies in 6D gauged supergravities
• Non-supersymmetric branes and discrete topological terms

Related

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• The Four Dimensional Green-Schwarz Mechanism and Anomaly Cancellation Conditions
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• (Quadratically) Refined Discrete Anomaly Cancellation