All Outputs (3)

Geometry of Spin(10) symmetry breaking (2024)
Journal Article
Krasnov, K. (2024). Geometry of Spin(10) symmetry breaking. Journal of Mathematical Physics, 65(8), Article 082302. https://doi.org/10.1063/5.0210073

We provide a new characterisation of the Standard Model gauge group GSM as a subgroup of Spin(10). The new description of GSM relies on the geometry of pure spinors. We show that GSM ⊂ Spin(10) is the group that stabilises a pure spinor Ψ1 and projec... Read More about Geometry of Spin(10) symmetry breaking.

Area-metric gravity revisited (2024)
Journal Article
Borissova, J. N., Dittrich, B., & Krasnov, K. (2024). Area-metric gravity revisited. Physical Review D, 109(12), Article 124035. https://doi.org/10.1103/physrevd.109.124035

Area metrics are an intriguing generalization of length metrics which the generalization in several quantum-gravity approaches. We describe the space of diffeomorphism-invariant area-metric actions quadratic in fluctuations and derivatives. A general... Read More about Area-metric gravity revisited.

Lorentzian Cayley form (2024)
Journal Article
Krasnov, K. (2024). Lorentzian Cayley form. Journal of Geometry and Physics, 201, Article 105211. https://doi.org/10.1016/j.geomphys.2024.105211

Cayley four-form Φ on an eight-dimensional manifold M is a real differential form of a special algebraic type, which determines a Riemannian metric on M as well as a unit real Weyl spinor. It defines a Spin(7) structure on M, and this Spin(7) structu... Read More about Lorentzian Cayley form.