Corners of gravity: the case of gravity as a constrained BF theory

Understand

Following recent works on corner charges we investigate the boundary structure in the case of the theory of gravity formulated as a constrained BF theory.

• This allows us not only to introduce the cosmological constant, but also explore the influence of the topological terms present in the action of this theory.
• Established formulas for charges resemble previously obtained ones, but we show that they are affected by the presence of the cosmological constant and topological terms.
• As an example we discuss the charges in the case of the AdS--Schwarzschild solution and we find that the charges give correct values.