On parity-odd sector in metric-affine theories

نویسندگان

چکیده

We undertake the construction of quadratic parity-violating terms involving curvature in four-dimensional metric-affine gravity. demonstrate that there are only 12 linearly independent scalars, plus an additional one can be removed by using Pontryagin invariant. Several convenient bases for this sector provided both components and differential form notation. also particularize our general findings to some constrained geometries like Weyl-Cartan metric-compatible connections.

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ژورنال

عنوان ژورنال: European Physical Journal C

سال: 2023

ISSN: ['1434-6044', '1434-6052']

DOI: https://doi.org/10.1140/epjc/s10052-023-11250-2