Gravity with torsion as deformed theory
arXiv:2310.01877 · doi:10.1088/1361-6382/ad5135
Abstract
We study a family of (possibly non topological) deformations of theory for the Lie algebra obtained by quadratic extension of by an orthogonal module. The resulting theory, called quadratically extended General Relativity (qeGR), is shown to be classically equivalent to certain models of gravity with dynamical torsion. The classical equivalence is shown to promote to a stronger notion of equivalence within the Batalin--Vilkovisky formalism. In particular, both Palatini--Cartan gravity and a deformation thereof by a dynamical torsion term, called (quadratic) generalised Holst theory, are recovered from the standard Batalin--Vilkovisky formulation of qeGR by elimination of generalised auxiliary fields.
arXiv comment61 pages + bibliography. v2: removed leftover review comments
References in corpus (51)
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Local BRST cohomology in the antifield formalism: I. General theorems
- Torsion Gravity: a Reappraisal
- Actions for Gravity, with Generalizations: A Review
- Quantum gravity in terms of topological observables
- Parent field theory and unfolding in BRST first-quantized terms
- New Action Principle for General Relativity
- Perturbative quantum gauge theories on manifolds with boundary
- Classical BV theories on manifolds with boundary
- Hamiltonian analysis of General relativity with the Immirzi parameter
- Big bounce from spin and torsion
- 4d Lorentzian Holst action with topological terms
- Teleparallel theories of gravity as analogue of non-linear electrodynamics
- Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops
- What is the Entropy in Entropic Gravity?
- Four-Dimensional Yang-Mills Theory as a Deformation of Topological BF Theory
- Gravity and Unification: A review
- gravity
- First order parent formulation for generic gauge field theories
- On the Relations between Gravity and BF Theories
- Einstein-Cartan Gravity with Torsion Field Serving as Origin for Cosmological Constant or Dark Energy Density
- Modified Newtonian Dynamics, an Introductory Review
- Parent formulation at the Lagrangian level
- The reduced phase space of Palatini-Cartan-Holst theory
- Revisiting the Simplicity Constraints and Coherent Intertwiners
- Torsion-induced gravitational term and gravitoelectromagnetism
- Batalin-Vilkovisky formalism in locally covariant field theory
- Boundary structure of General Relativity in tetrad variables
- Spacetime torsion as a possible remedy to major problems in gravity and cosmology
- Analysis of big bounce in Einstein--Cartan cosmology
- Asymptotic symmetries in the BV-BFV formalism
- Towards holography in the BV-BFV setting
- Introduction to the BV-BFV formalism
- BV-BFV approach to General Relativity: Palatini-Cartan-Holst action
- A cellular topological field theory
- On the perturbative expansion of a quantum field theory around a topological sector
- On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
- Axion gravitodynamics, Lense-Thirring effect, and gravitational waves
- BV-equivalence between triadic gravity and BF theory in three dimensions
- Fully extended BV-BFV description of General Relativity in three dimensions
- General Relativity and the AKSZ construction
- Constrained systems, generalized Hamilton-Jacobi actions, and quantization
- BV equivalence with boundary
- Intrinsic spin requires gravity with torsion and curvature
- Topological quantum field theories
- Quantum Gravity as a Broken Symmetry Phase of a BF Theory
- The (secret?) homological algebra of the Batalin-Vilkovisky approach
- Square-torsion gravity, dark matter halos and the baryonic Tully-Fisher relation
- Gravitational Constraints on a Lightlike boundary
- Ruelle zeta function from field theory
- On the Role of Einstein-Cartan Gravity in Fundamental Particle Physics