3d gravity in Bondi-Weyl gauge: charges, corners, and integrability

Understand

We introduce a new gauge and solution space for three-dimensional gravity.

• As its name Bondi-Weyl suggests, it leads to non-trivial Weyl charges, and uses Bondi-like coordinates to allow for an arbitrary cosmological constant and therefore spacetimes which are asymptotically locally (A)dS or flat.
• We explain how integrability requires a choice of integrable slicing and also the introduction of a corner term.
• After discussing the holographic renormalization of the action and of the symplectic potential, we show that the charges are finite, symplectic and integrable, yet not conserved.