Locality and universality in gravitational anomaly cancellation

2018/05/30 by Roberto Ferreiro Pérez, Pérez, Roberto Ferreiro
Mathematics · Physics and Astronomy · #53C80 #58A20 #58D17 #81T50 #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1805.12068

openalex publication_date 2018/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain necesary and sufficient conditions for gravitational anomaly cancellation. We show that perturbative gravitational anomalies can never be cancelled. In a similar way, in dimensions n≠3mod4 it is impossible to cancell global anomalies. However, in dimensions n=3mod4 global anomalies can be cancelled. We prove that the unique way to cancel the anomaly is by using a Chern-Simons counterterm. Furthermore, the relationship between the problems of locality and universality is analyzed for gravitational anomalies.

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