Quantum hyperbolic geometry in loop quantum gravity with cosmological constant

Understand

Loop Quantum Gravity (LQG) is an attempt to describe the quantum gravity regime.

• Introducing a non-zero cosmological constant $\Lambda$ in this context has been a withstanding problem.
• Other approaches, such as Chern-Simons gravity, suggest that quantum groups can be used to introduce $\Lambda$ in the game.
• Not much is known when defining LQG with a quantum group.