Phys. Rev. D 63, 064010 (2001) [15 pages]

Holographic formulation of quantum supergravity

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Yi Ling * and Lee Smolin
Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802
The Blackett Laboratory, Imperial College of Science, Technology and Medicine, South Kensington, London SW7 2BZ, United Kingdom

Received 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/abstract/PRD/v63/e064010
DOI: 10.1103/PhysRevD.63.064010
PACS: 04.60.Ds, 04.20.Fy, 04.65.+e, 12.60.Jv

* Email address: ling@phys.psu.edu
Email address: smolin@phys.psu.edu

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