# Algebraic structure of gravity in Ashtekar variables

Research paper by P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, H. Zerrouki

Indexed on: 15 Sep '94Published on: 15 Sep '94Published in: High Energy Physics - Theory

#### Abstract

The BRST transformations for gravity in Ashtekar variables are obtained by using the Maurer-Cartan horizontality conditions. The BRST cohomology in Ashtekar variables is calculated with the help of an operator $\delta$ introduced by S.P. Sorella, which allows to decompose the exterior derivative as a BRST commutator. This BRST cohomology leads to the differential invariants for four-dimensional manifolds.