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arXiv · hep-th/9409046

Algebraic structure of gravity in Ashtekar variables

P. A. Blaga·O. Moritsch·M. Schweda·T. Sommer·L. Tataru·H. Zerrouki
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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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P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, H. Zerrouki. 1994-09-15. Algebraic structure of gravity in Ashtekar variables. https://doi.org/10.1103/physrevd.51.2792

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