## 2 Citations

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

- Mathematics
- 2022

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

- Physics, MathematicsJournal of High Energy Physics
- 2022

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

- Mathematics, PhysicsJournal of High Energy Physics
- 2022

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

- Mathematics
- 2023

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…

## References

SHOWING 1-10 OF 113 REFERENCES

### Isolated surfaces and symmetries of gravity

- MathematicsPhysical Review D
- 2021

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

- MathematicsJournal of High Energy Physics
- 2021

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

- Physics
- 2020

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

- Mathematics
- 2020

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

- MathematicsJournal of High Energy Physics
- 2020

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

- Physics, Mathematics
- 2020

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

- Mathematics
- 2015

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

- Mathematics
- 1990

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

- Physics
- 2016

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

- Physics
- 2017

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…