  We derive and analyze Noether charges associated with the diffeomorphism
invariance for the constrained SO(2,3) BF theory. This result generalizes the
Wald approach to the case of the first order gravity with a negative
cosmological constant, the Holst modification and topological terms (Nieh-Yan,
Euler, and Pontryagin). We show that differentiability of the action is
automatically implemented by the the structure of the constrained BF model.
Finally, we calculate the AdS--Schwarzschild black hole entropy from the
Noether charge and we find that, unexpectedly, it does not depend on the
Immirzi parameter.
