Phys. Rev. D 63, 064010 (2001) [15 pages]Holographic formulation of quantum supergravityReceived 30 October 2000; published 12 February 2001 We show that N=1 supergravity with a cosmological constant can be expressed as constrained topological field theory based on the supergroup Osp(1|4). The theory is then extended to include timelike boundaries with finite spatial area. Consistent boundary conditions are found which induce a boundary theory based on a supersymmetric Chern-Simons theory. The boundary state space is constructed from states of the boundary supersymmetric Chern-Simons theory on the punctured two sphere and naturally satisfies the Bekenstein bound, where area is measured by the area operator of quantum supergravity. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.064010
DOI:
10.1103/PhysRevD.63.064010
PACS:
04.60.Ds, 04.20.Fy, 04.65.+e, 12.60.Jv
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