About Loop States in Supergravity

Details About Loop States in Supergravity About Loop States in Supergravity

1994-03-18

arxiv.org/abs/gr-qc/9403034v1

Class.Quant.Grav.11:2395-2410,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 20 pages, DESY-94-037

Scientific paper

10.1088/0264-9381/11/10/002

The Wilson loop functionals in terms of Ashtekar's variables were the first (formal) solutions to the quantized hamiltonian constraint of canonical gravity. Here it is shown that the same functionals also solve the supergravity constraints and some evidence is presented that they are artificially generated by multiplying the constraints by the metric determinant, which has become a widely accepted procedure. Using the same method in 2+1 dimensional gravity and supergravity leads to wrong results, e.g.~2+1 gravity is no longer a purely topological theory. As another feature of the densitized constraints it turns out that the classical theory desribed by them is not invariant under space time diffeomorphisms.

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