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

Research paper by Géza Fülöp

Indexed on: 08 Sep '92Published on: 08 Sep '92Published in: General Relativity and Quantum Cosmology

#### 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.