Transformations and BRST-Charges in 2+1 Dimensional Gravitation

Details Transformations and BRST-Charges in 2+1 Dimensional Gravitation Transformations and BRST-Charges in 2+1 Dimensional Gravitation

1992-09-08

arxiv.org/abs/gr-qc/9209003v1

Mod.Phys.Lett.A7:3495-3502,1992

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1142/S0217732392002901

Canonical transformations relating the variables of the ADM-, Ashtekar's and
Witten's formulations of gravity are computed in 2+1~dimensions. Three
different forms of the BRST-charge are given in the 2+1 dimensional Ashtekar
formalism, two of them using Ashtekar's form of the constraints and one of them
using the forms suggested by Witten. The BRST-charges are of different rank.

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