# Algebraic structure of gravity in Ashtekar's variables.

@article{Blaga1995AlgebraicSO,
title={Algebraic structure of gravity in Ashtekar's variables.},
author={Blaga and Moritsch and Schweda and Sommer and Tataru and Zerrouki},
journal={Physical review. D, Particles and fields},
year={1995},
volume={51 6},
pages={
2792-2800
}
}
• Blaga, +3 authors Zerrouki
• Published 1995
• Physics, Medicine
• Physical review. D, Particles and fields
• 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 \ensuremath{\delta} 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.
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