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, Moritsch, +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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