Publication: Consistent and non-consistent deformations of gravitational theories
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2022-05
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Springer
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Abstract
We study the internally abelianized version of a range of gravitational theories, written in connection tetrad form, and study the possible interaction terms that can be added to them in a consistent way. We do this for 2+1 and 3+1 dimensional models. In the latter case we show that the Cartan-Palatini and Holst actions are not consistent deformations of their abelianized versions. We also show that the Husain-Kuchař and Euclidean self-dual actions are consistent deformations of their abelianized counterparts. This suggests that if the latter can be quantized, it could be possible to devise a perturbative scheme leading to the quantization of Euclidean general relativity along the lines put forward by Smolin in the early nineties.
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Chern-Simons theories, Classical theories of gravity, Gauge symmetry, Topological field theories
Bibliographic citation
Barbero G., J. F., Basquens, M., Díaz, B. & Villaseñor, E. J. S. (2022). Consistent and non-consistent deformations of gravitational theories. Journal of High Energy Physics, 2022(5), 175.