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Pure Lorentz spin connection theories and uniqueness of general relativity (2021)
Journal Article
Krasnov, K., & Mitsou, E. (2021). Pure Lorentz spin connection theories and uniqueness of general relativity. Classical and Quantum Gravity, 38(20), Article 205009. https://doi.org/10.1088/1361-6382/ac25e3

General relativity (GR) can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type f(F ∧ F), where F is the curvature two-form of the spin connection. A theory from this class with a generic f is... Read More about Pure Lorentz spin connection theories and uniqueness of general relativity.

Deformations of GR, geometrodynamics and reality conditions (2021)
Journal Article
Krasnov, K., & Mitsou, E. (2021). Deformations of GR, geometrodynamics and reality conditions. Classical and Quantum Gravity, 38(8), Article 085009. https://doi.org/10.1088/1361-6382/abe756

In four dimensions complexified general relativity (GR) can be non-trivially deformed: there exists an (infinite-parameter) set of modifications all having the same count of degrees of freedom. It is trivial to impose reality conditions that give ver... Read More about Deformations of GR, geometrodynamics and reality conditions.

SO(9) characterization of the standard model gauge group (2021)
Journal Article
Krasnov, K. (2021). SO(9) characterization of the standard model gauge group. Journal of Mathematical Physics, 62(2), Article 021703. https://doi.org/10.1063/5.0039941

A recent series of works characterized the Standard Model (SM) gauge group GSM as the subgroup of SO(9) that, in the octonionic model of the latter, preserves the split O=C?C3 of the space of octonions into a copy of the complex plane plus the rest.... Read More about SO(9) characterization of the standard model gauge group.