Algebraic structure of gravity in Ashtekar's variables
Abstract
The BRST transformations for gravity in Ashtekar's variables are obtained by using the MaurerCartan horizontality conditions. The BRST cohomology in Ashtekar's variables is calculated with the help of an operator δ 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 fourdimensional manifolds.
 Publication:

Physical Review D
 Pub Date:
 March 1995
 DOI:
 10.1103/PhysRevD.51.2792
 arXiv:
 arXiv:hepth/9409046
 Bibcode:
 1995PhRvD..51.2792B
 Keywords:

 04.60.Ds;
 02.40.Re;
 11.30.Ly;
 Canonical quantization;
 Algebraic topology;
 Other internal and higher symmetries;
 High Energy Physics  Theory
 EPrint:
 19 pages, report REF. TUW 9419