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A field theory on a three-dimensional manifold is introduced, whose fieldequations are the constraint equations for general relativity on athree-dimensional null hypersurface. The underlying boundary action consists oftwo copies of the dressed Chern-Simons term for self-dual Ashtekar variables, akinetic term for the null flag at the boundary plus additional junctionconditions for the spin coefficients across the interface. In fact, there is adoubling of the field content, because the null hypersurface will be consideredas an internal boundary between two adjacent slabs of spacetime. The paperconcludes with a proposal for a construction of the gravitational transitionamplitudes in the bulk via the auxiliary boundary field theory alone, namely bygluing amplitudes for edge states across two-dimensional corners, thusproviding a proposal for a quasi-local realisation of the holographic principleat the light front.

Generating functional for gravitational null initial data