Algebraic structure of gravity in Ashtekar's variables

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 [delta] introduced by Sorella [Commun. Math. Phys. 157, 231 (1993)], which a...

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Veröffentlicht in:	Physical review. D, Particles and fields Particles and fields, 1995-03, Vol.51 (6), p.2792-2800
Hauptverfasser:	Blaga, PA, Moritsch, O, Schweda, M, Sommer, T, Tataru, L, Zerrouki, H
Format:	Artikel
Sprache:	eng
Schlagworte:	661310 > Relativity & Gravitation-- (1992-) CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COMMUTATORS FIELD THEORIES FOUR-DIMENSIONAL CALCULATIONS GENERAL RELATIVITY THEORY MATHEMATICAL MANIFOLDS MATHEMATICAL OPERATORS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY QUANTUM GRAVITY QUANTUM OPERATORS 662120 > General Theory of Particles & Fields-- Symmetry, Conservation Laws, Currents & Their Properties-- (1992-) SPACE-TIME TRANSFORMATIONS
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Zusammenfassung:	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 [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.
ISSN:	0556-2821 1089-4918
DOI:	10.1103/PhysRevD.51.2792