BV equivalence between triadic gravity and BF theory in three dimensions

DOI10.1007/s11005-018-1060-5zbMath1393.83017arXiv1707.07764OpenAlexW3105235683MaRDI QIDQ723654

Michele Schiavina, I. Selliah, Alberto Sergio Cattaneo

Publication date: 24 July 2018

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

Full work available at URL: https://arxiv.org/abs/1707.07764

zbMATH Keywords

topological field theoriesBF theory3d gravityBV formalismequivalence of field theoriesPalatini theory

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Geometry and quantization, symplectic methods (81S10) Classical field theories (70S99)

Related Items (8)

Integrability and BRST invariance from BF topological theory ⋮ BV equivalence with boundary ⋮ The reduced phase space of Palatini-Cartan-Holst theory ⋮ L ∞ -algebras of Einstein–Cartan–Palatini gravity ⋮ Covariance in the Batalin-Vilkovisky formalism and the Maurer-Cartan equation for curved Lie algebras ⋮ Perturbative BF theory ⋮ General relativity and the AKSZ construction ⋮ Towards holography in the BV-BFV setting

Cites Work

• Symplectic microgeometry II: Generating functions
• Classical BV theories on manifolds with boundary
• \(2+1\)-dimensional gravity as an exactly soluble system
• Homological reduction of constrained Poisson algebras
• The reduced phase space of Palatini-Cartan-Holst theory
• Ghost equations and diffeomorphism-invariant theories
• BV-BFV approach to general relativity: Einstein-Hilbert action
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