Manifest electric-magnetic duality in linearized conformal gravity
arXiv:2101.04705 · doi:10.1103/PhysRevD.103.105014
Abstract
We derive a manifestly duality-symmetric formulation of the action principle for conformal gravity linearized around Minkowski space-time. The analysis is performed in the Hamiltonian formulation, the fourth-order character of the equations of motion requiring the formal treatment of the three-dimensional metric perturbation and the extrinsic curvature as independent dynamical variables. The constraints are solved in terms of two symmetric potentials that are interpreted as a dual three-dimensional metric and a dual extrinsic curvature. The action principle can be written in terms of these four dynamical variables, duality acting as simultaneous rotations in the respective spaces spanned by the three-dimensional metrics and the extrinsic curvatures. A twisted self-duality formulation of the equations of motion is also provided.
References in corpus (22)
- E_11 and M Theory
- E10 and a "small tension expansion" of M Theory
- On Lorentz Invariant Actions for Chiral P-Forms
- D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
- Conformal Supergravity in Twistor-String Theory
- Duality Symmetric Actions with Manifest Space-Time Symmetries
- Duality in linearized gravity
- On S-Duality in Abelian Gauge Theory
- Manifest Electromagnetic Duality in Closed Superstring Field Theory
- Self-dual forms: Action, Hamiltonian and Compactification
- Coset Symmetries in Dimensionally Reduced Bosonic String Theory
- Four Dimensional Conformal Supergravity From AdS Space
- Ehlers as EM duality in the double copy
- Covariant path integral for chiral p-forms
- Construction of all N=4 conformal supergravities
- Gravitational duality near de Sitter space
- Free Spin 2 Duality Invariance Cannot be Extended to GR
- The Action for Twisted Self-Duality
- Gravitational Electric-Magnetic Duality, Gauge Invariance and Twisted Self-Duality
- Supersymmetric electric-magnetic duality as a manifest symmetry of the action for super-Maxwell theory and linearized supergravity
- A hidden symmetry in quantum gravity
- Ehlers symmetry in four dimensions