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arXiv · hep-th/0408181

Quantized gauge-affine gravity in the superfiber bundle approach

A. Meziane·M. Tahiri
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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.

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A. Meziane, M. Tahiri. 2005-11-10. Quantized gauge-affine gravity in the superfiber bundle approach. https://doi.org/10.1103/physrevd.71.104033

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