Barbero G., J. FernandoBasquens, MarcDíaz Jiménez, BogarSánchez Villaseñor, Eduardo Jesús2023-02-012023-02-012022-05Barbero 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), 175.1029-8479https://hdl.handle.net/10016/36439We 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.29eng© The Authors.Atribución 3.0 EspañaChern-Simons theoriesClassical theories of gravityGauge symmetryTopological field theoriesresearch articleFísicaMatemáticasMaterialeshttps://doi.org/10.1007/JHEP05(2022)175open access15, 17529Journal of High Energy Physics2022AR/0000030621