Quantized gauge-affine gravity in the superfiber bundle approach
Abstract
The quantization of gauge-affine gravity within the superfiber bundle formalism is proposed. By introducing an even pseudotensorial 1-superform over a principal superfibre bundle with superconnection, we obtain the geometrical Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST transformations of the fields occurring in such a theory. Reducing the four-dimensional general affine group double-covering to the Poincare group double-covering we also find the BRST and anti-BRST transformations of the fields present in Einstein's gravity. Furthermore, we give a prescription leading to the construction of both BRST-invariant gauge-fixing action for gauge-affine gravity and Einstein's gravity.
Cite
@article{arxiv.hep-th/0408181,
title = {Quantized gauge-affine gravity in the superfiber bundle approach},
author = {A. Meziane and M. Tahiri},
journal= {arXiv preprint arXiv:hep-th/0408181},
year = {2009}
}
Comments
Latex, 18 pages, no figures; minor changes made in Section 2, added references for conclusion; final published version