New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom

@article{Bodendorfer2013NewVF,
  title={New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom},
  author={Norbert Bodendorfer and Thomas Thiemann and A. Thurn},
  journal={Classical and Quantum Gravity},
  year={2013},
  volume={31}
}
In this paper, we generalize the treatment of isolated horizons in loop quantum gravity, resulting in a Chern–Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n + 1)-dimensional spacetimes. The key idea is to generalize the four-dimensional isolated horizon boundary condition by using the Euler topological density E(2n) of a spatial slice of the black hole horizon as a measure of distortion. The resulting symplectic structure on the horizon… 

A pr 2 01 8 Loop quantum gravity and the continuum

In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum.

Conformal boundary conditions, loop gravity and the continuum

  • W. Wieland
  • Physics
    Journal of High Energy Physics
  • 2018
A bstractIn this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the

Quantum theory of charged isolated horizons

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both the gauge and gravitational field are quantized. We consider the

Higher dimensional and supersymmetric extensions of loop quantum gravity

In this work, we extend loop quantum gravity (LQG) both, to higher dimensions and supersymmetry (i.e. supergravity theories), thus overcoming the current limitation to 3+1 dimensions with standard

J an 2 01 8 Quantum theory of charged isolated horizons

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both gauge and gravitational field are quantized. We consider the distorted

Black holes in loop quantum gravity

  • A. Perez
  • Physics
    Reports on progress in physics. Physical Society
  • 2017
TLDR
This is a review of results on black hole physics in the context of loop quantum gravity, finding the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum gravity to be key.

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

Entropy of higher dimensional nonrotating isolated horizons from loop quantum gravity

In this paper, we extend the calculation of the entropy of nonrotating isolated horizons in four-dimensional spacetime to that in a higher-dimensional spacetime. We show that the boundary degrees of

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

A gauge-invariant symplectic potential for tetrad general relativity

A bstractWe identify a symplectic potential for general relativity in tetrad and connection variables that is fully gauge-invariant, using the freedom to add surface terms. When torsion vanishes, it

References

SHOWING 1-10 OF 65 REFERENCES

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means

New variables for classical and quantum gravity in all dimensions: I. Hamiltonian analysis

Loop quantum gravity (LQG) relies heavily on a connection formulation of general relativity such that (1) the connection Poisson commutes with itself and (2) the corresponding gauge group is compact.

Quantum geometry of isolated horizons and black hole entropy

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting

Isolated horizons in higher dimensional Einstein–Gauss–Bonnet gravity

The isolated horizon framework was introduced in order to provide a local description of black holes that are in equilibrium with their (possibly dynamic) environment. Over the past several years,

Isolated horizons: The classical phase space

A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are “isolated” near future time-like infinity or for a finite time interval. The underlying

Towards loop quantum supergravity (LQSG): II. p-form sector

In our companion paper, we focused on the quantization of the Rarita–Schwinger sector of supergravity theories in various dimensions by using an extension of loop quantum gravity to all spacetime

Linking topological quantum field theory and nonperturbative quantum gravity

Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory in which the

Static Isolated Horizons: SU(2) Invariant Phase Space, Quantization, and Black Hole Entropy

TLDR
It is argued how this difficulty could be avoided by a simple enlargement of the field content at the horizon that restores diffeomorphism invariance, and a quantization of the horizon degrees of freedom is proposed.

New variables for classical and quantum gravity in all dimensions: IV. Matter coupling

We employ the techniques introduced in the companion papers (Bodendorfer et al 2011 arXiv:1105.3703 [gr-qc]; arXiv:1105.3704 [gr-qc]; arXiv:1105.3705 [gr-qc]) to derive a connection formulation of
...