On parity-odd sector in metric-affine theories
General Relativity and Quantum Cosmology
2023-02-22 v2
Abstract
We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl-Cartan and metric-compatible connections.
Keywords
Cite
@article{arxiv.2210.01729,
title = {On parity-odd sector in metric-affine theories},
author = {Jose Beltrán Jiménez and Alejandro Jiménez-Cano and Yuri N. Obukhov},
journal= {arXiv preprint arXiv:2210.01729},
year = {2023}
}
Comments
12 pages, no figures, no tables. Added: small changes and some references. Version to be published in EPJC