Version 1
: Received: 10 February 2024 / Approved: 12 February 2024 / Online: 13 February 2024 (08:07:00 CET)
How to cite:
BELARBI, O.A.; Meziane, A. In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity. Preprints2024, 2024020699. https://doi.org/10.20944/preprints202402.0699.v1
BELARBI, O.A.; Meziane, A. In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity. Preprints 2024, 2024020699. https://doi.org/10.20944/preprints202402.0699.v1
BELARBI, O.A.; Meziane, A. In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity. Preprints2024, 2024020699. https://doi.org/10.20944/preprints202402.0699.v1
APA Style
BELARBI, O.A., & Meziane, A. (2024). In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity. Preprints. https://doi.org/10.20944/preprints202402.0699.v1
Chicago/Turabian Style
BELARBI, O.A. and Ahmed Meziane. 2024 "In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity" Preprints. https://doi.org/10.20944/preprints202402.0699.v1
Abstract
The realization of a BRST cohomology of the 4D topological gauge-affine gravity is established in terms of a superconnection formalism. Identification of fields in the quantized theory is occurred directly as usual in terms of superconnection and its supercurvature components with the double covering of the general affine group GA¯(4,R). Then, by means of an appropriate decomposition of the metalinear double-covering group SL¯(5,R) with respect to the general linear double-covering group GL¯(4,R) one can easily obtain the enlargements of the fields while remaining consistent with the BRST algebra. This leads to the descent equations allowing us to build the observables of the theory by means of the BRST algebra constructed using a sa¯(5,R) algebra-valued superconnection. In particular, we discuss the construction of topological invariants with torsion.
Keywords
Topological models of gravity; topological gauge-affine gravity; Off-shell nilpotent BRST and anti-BRST algebra; Descent equations; Topological observables
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
