Universal bundle for gravity, local index theorem, and covariant gravitational anomalies

DOI10.1063/1.530721zbMath0817.53052arXivhep-th/9309020OpenAlexW3105256421MaRDI QIDQ4327280

Gerald Kelnhofer

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9309020

zbMATH Keywords

BRSanti-BRS multipletconsistent gravitational anomaliescovariant gravitational anomalies

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (1)

Local anomalies and local equivariant cohomology

Cites Work

• Global aspects of fixing the gauge in the Polyakov string and Einstein gravity
• A note on the covariant anomaly as an equivariant momentum mapping
• The structure of gauge and gravitational anomalies
• Gravitational anomalies and the family's index theorem
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Spinors and diffeomorphisms
• Determinants, torsion, and strings
• The evaluation map in field theory, sigma-models and strings. I
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Conformally invariant gauge fixed actions for 2-D topological gravity
• The index of elliptic operators. IV, V
• On the geometrical structure of covariant anomalies in Yang–Mills theory
• Dirac operators coupled to vector potentials

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