Algebraic structure of gravity in Ashtekar variables

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 $\delta$ 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.

19 pages, report REF. TUW 94-19

References in corpus (8)

• General Solution of the Consistency Equation
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• Algebraic structure of Gravity with Torsion
• A Closed form for Consistent Anomalies in Gauge Theories
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• About Loop States in Supergravity
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Cited by in corpus (7)

• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
• Ghost Equations and Diffeomorphism Invariant Theories
• BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables
• Geometrical representation of Euclidean general relativity in the canonical formalism
• Gravity and the Standard Model with 130 GeV Truth Quark from D4-D5-E6 Model using 3x3 Octonion Matrices
• Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace