Abstract
The BRST transformations for gravity in Ashtekar’s variables are obtained by using the Maurer-Cartan horizontality conditions. The BRST cohomology in Ashtekar’s variables is calculated with the help of an operator δ introduced by Sorella [Commun. Math. Phys. 157, 231 (1993)], which allows one to decompose the exterior derivative as a BRST commutator. This BRST cohomology leads to the differential invariants for four-dimensional manifolds.
- Received 12 September 1994
DOI:https://doi.org/10.1103/PhysRevD.51.2792
©1995 American Physical Society
