Universal Corner Symmetry and the Orbit Method for Gravity

  title={Universal Corner Symmetry and the Orbit Method for Gravity},
  author={Luca Ciambelli and Robert G. Leigh},
  journal={Nuclear Physics B},

Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs

We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this

Holographic Lorentz and Carroll frames

Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a

Geometric action for extended Bondi-Metzner-Sachs group in four dimensions

The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated

Weyl-Ambient Geometries

Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a



Isolated surfaces and symmetries of gravity

Conserved charges in theories with gauge symmetries are supported on codimension-2 surfaces in the bulk. It has recently been suggested that various classical formulations of gravity dynamics display

Gravitational edge modes, coadjoint orbits, and hydrodynamics

The phase space of general relativity in a finite subregion is characterized by edge modes localized at the codimension-2 boundary, transforming under an infinite-dimensional group of symmetries. The

Edge modes of gravity. Part I. Corner potentials and charges

This is the first paper in a series devoted to understanding the classical and quantum nature of edge modes and symmetries in gravitational systems. The goal of this analysis is to: i) achieve a

Edge modes of gravity. Part III. Corner simplicity constraints

In the tetrad formulation of gravity, the so-called simplicity constraints play a central role. They appear in the Hamiltonian analysis of the theory, and in the Lagrangian path integral when

Extensions of the asymptotic symmetry algebra of general relativity

A bstractWe consider a recently proposed extension of the Bondi-Metzner-Sachs algebra to include arbitrary infinitesimal diffeomorphisms on a 2-sphere. To realize this extended algebra as asymptotic

Edge modes of gravity. Part II. Corner metric and Lorentz charges

In this second paper of the series we continue to spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. Here we focus on tetrad

Gauging the Carroll algebra and ultra-relativistic gravity

A bstractIt is well known that the geometrical framework of Riemannian geometry that underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be obtained from a

Local symmetries and constraints

The general relationship between local symmetries occurring in a Lagrangian formulation of a field theory and the corresponding constraints present in a phase space formulation are studied. First, a

Local subsystems in gauge theory and gravity

A bstractWe consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting

Lorentz-diffeomorphism edge modes in 3d gravity

A bstractThe proper definition of subsystems in gauge theory and gravity requires an extension of the local phase space by including edge mode fields. Their role is on the one hand to restore gauge