# 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 Andreas Thurn}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2013} }

In this paper, we generalise 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 generalise the four-dimensional isolated horizon boundary condition by using the Euler topological density of a spatial slice of the black hole horizon as a measure of distortion. The resulting symplectic structure on the horizon coincides…

## 25 Citations

Higher dimensional and supersymmetric extensions of loop quantum gravity

- Physics
- 2013

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…

Quantum theory of charged isolated horizons

- Physics
- 2018

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…

Conformal boundary conditions, loop gravity and the continuum

- PhysicsJournal 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…

J an 2 01 8 Quantum theory of charged isolated horizons

- Physics
- 2018

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…

Entropy of higher dimensional nonrotating isolated horizons from loop quantum gravity

- Physics
- 2015

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…

Black holes in loop quantum gravity.

- PhysicsReports on progress in physics. Physical Society
- 2017

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

- 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…

A gauge-invariant symplectic potential for tetrad general relativity

- PhysicsJournal of High Energy Physics
- 2018

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…

A note on quantum supergravity and AdS/CFT

- Physics
- 2015

We note that the non-perturbative quantisation of supergravity as recently investigated using loop quantum gravity techniques provides an opportunity to probe an interesting sector of the AdS/CFT…

Reformulation of boundary BF theory approach to statistical explanation of the entropy of isolated horizons

- Physics
- 2015

It is shown in this paper that the symplectic form for the system consisting of D-dimensional bulk Palatini gravity and SO(1, 1) BF theory on an isolated horizon as a boundary just contains the bulk…

## References

SHOWING 1-10 OF 63 REFERENCES

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

- Physics
- 2012

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…

Quantum geometry of isolated horizons and black hole entropy

- Physics
- 2000

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…

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

- Physics
- 2013

We employ the techniques introduced in the companion papers [1, 2, 3] to derive a connection formulation of Lorentzian General Relativity coupled to Dirac fermions in dimensions D + 1 ≥ 3 with…

Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity

- Physics
- 2007

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,…

New variables for classical and quantum (super)-gravity in all dimensions

- Physics
- 2013

Supergravity was originally introduced in the hope of finding a theory of gravity without the shortcoming of perturbative non-renormalisability. Although this goal does not seem to have been reached…

Towards Loop Quantum Supergravity (LQSG) II. p-Form Sector

- Physics
- 2013

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…

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

- PhysicsEntropy
- 2011

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.

Isolated horizons: The Classical phase space

- Physics
- 1999

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…

Linking topological quantum field theory and nonperturbative quantum gravity

- Mathematics
- 1995

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…