Algebraic structure of gravity in Ashtekar variables

Details Algebraic structure of gravity in Ashtekar variables Algebraic structure of gravity in Ashtekar variables

1994-09-09

arxiv.org/abs/hep-th/9409046v2

Phys.Rev. D51 (1995) 2792-2800

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, report REF. TUW 94-19

Scientific paper

10.1103/PhysRevD.51.2792

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.

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