Transformations and BRST-Charges in 2+1 Dimensional Gravitation
arXiv:gr-qc/9209003 · doi:10.1142/S0217732392002901
Abstract
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.
10 pages