3D Supergravity in the Batalin-Vilkovisky Formalism
arXiv:2412.14300 · doi:10.1007/s00023-025-01588-6
Abstract
Three-dimensional supergravity in the Batalin-Vilkovisky formalism is constructed by showing that the theory including the Rarita-Schwinger term is equivalent to an AKSZ theory.
25 pages. Added references. Improved Introduction
References in corpus (16)
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Classical BV theories on manifolds with boundary
- Geometrodynamics vs. Connection Dynamics
- The reduced phase space of Palatini-Cartan-Holst theory
- The Integral Form of Supergravity
- Introduction to the BV-BFV formalism
- BV-BFV approach to General Relativity: Palatini-Cartan-Holst action
- The Quantum Theory of Chern-Simons Supergravity
- BV-equivalence between triadic gravity and BF theory in three dimensions
- Fully extended BV-BFV description of General Relativity in three dimensions
- Gravity with torsion as deformed theory
- Boundary structure of the standard model coupled to gravity
- Gravity Coupled with Scalar, SU, and Spinor Fields on Manifolds with Null-Boundary
- Chern-Simons Supergravity on Supergroup Manifolds
- Boundary structure of gauge and matter fields coupled to gravity