Generating functional for gravitational null initial data
Abstract
A field theory on a threedimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a threedimensional null hypersurface. The underlying boundary action consists of two copies of the dressed Chern─Simons term for selfdual Ashtekar variables, a kinetic term for the null flag at the boundary plus additional junction conditions for the spin coefficients across the interface. In fact, there is a doubling of the field content, because the null hypersurface is treated as an internal boundary between two adjacent slabs of spacetime. The paper concludes with a proposal for the construction of the gravitational transition amplitudes in the bulk via a gluing prescription for edge states across twodimensional corners, thus providing a proposal for a quasilocal realisation of the holographic principle at the light front.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 December 2019
 DOI:
 10.1088/13616382/ab4de2
 arXiv:
 arXiv:1905.06357
 Bibcode:
 2019CQGra..36w5007W
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 28 pages