# 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…

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