Topological Sector of Generalized Pre-geometric Gravity
We investigate the topological sector of pre-geometric gravity formulated as a constrained BF gauge theory. Starting from the Generalized Wilczek Gravity – a theory where spacetime emerges from spontaneous symmetry breaking of a (anti)de Sitter gauge group – we demonstrate that the Gauss-Bonnet, Pontryagin, and Nieh-Ya...