Chern–Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections

DOI10.1063/5.0168465arXiv2305.18688OpenAlexW4391364615MaRDI QIDQ6188566

Santiago Capriotti

Publication date: 7 February 2024

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

Full work available at URL: https://arxiv.org/abs/2305.18688

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Kaluza-Klein and other higher-dimensional theories (83E15)

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• The existence of Cartan connections and geometrizable principle bundles
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Symmetric space Cartan connections and gravity in three and four dimensions
• Topological quantum field theory
• Some comments on Chern-Simons gauge theory
• Variational formulation of Chern--Simons theory for arbitrary Lie groups
• Characteristic forms and geometric invariants
• Classical Chern-Simons theory. I
• Connections and 1-jet fiber bundles
• Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory
• Geometry of Lagrangian First-order Classical Field Theories
• Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory
• MacDowell–Mansouri gravity and Cartan geometry
• Differential geometry, Palatini gravity and reduction
• The geometry of the bundle of connections
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