Effective particle kinematics from Quantum Gravity

Understand

Particles propagating in de Sitter spacetime can be described by the topological BF $\SO(4,1)$ theory coupled to point charges.

• Gravitational interaction between them can be introduced by adding to the action a symmetry breaking term, which reduces the local gauge symmetry down to $\SO(3,1)$, and which can be treated as a perturbation.
• In this paper we focus solely on topological interactions which corresponds to zeroth order in this perturbative expansion.
• We show that in this approximation the system is effectively described by the $\SO(4,1)$ Chern-Simons theory coupled to particles and living on the 3 dimensional boundary of space-time.