# Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum

@article{Wieland2017FockRO, title={Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum}, author={Wolfgang Wieland}, journal={Annales Henri Poincar{\'e}}, year={2017}, volume={18}, pages={3695-3717} }

In this article, we study the quantum theory of gravitational boundary modes on a null surface. These boundary modes are given by a spinor and a spinor-valued two-form, which enter the gravitational boundary term for self-dual gravity. Using a Fock representation, we quantise the boundary fields and show that the area of a two-dimensional cross section turns into the difference of two number operators. The spectrum is discrete, and it agrees with the one known from loop quantum gravity with the…

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