Algebraic structure of gravity in Ashtekar variables
P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, H. Zerrouki
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 δ 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.
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