# New boundary variables for classical and quantum gravity on a null surface

@article{Wieland2017NewBV, title={New boundary variables for classical and quantum gravity on a null surface}, author={Wolfgang Wieland}, journal={Classical and Quantum Gravity}, year={2017}, volume={34}, pages={215008} }

The covariant Hamiltonian formulation for general relativity is studied in terms of self-dual variables on a manifold with an internal and lightlike boundary. At this inner boundary, new canonical variables appear: a spinor and a spinor-valued two-form that encode the entire intrinsic geometry of the null surface. At a two-dimensional cross-section of the boundary, quasi-local expressions for the generators of two-dimensional diffeomorphisms, time translations, and dilatations of the null… CONTINUE READING

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