Constant curvature 3-branes in 5-D f(R) bulk

Braneworld models remain the most promising candidates to address several important questions in low-energy particle phenomenology and cosmology. The role of the moduli field(s) and its stabilization is an integral part of this question. Considering that most Braneworld models involve bulk curvature of the order of \(M_{\textrm{Pl}}\), in this work, we show that a 5-dimensional warped Braneworld model with f(R) gravity in bulk admits de-Sitter and anti-de-Sitter solutions on the branes. The remarkable feature of having a positive vacuum energy on the visible brane is the presence of a metastable minimum and a global minimum for the modulus potential. While the metastable minimum leads to a consistent cosmological model of a bouncing universe, the concomitant existence of the global minimum provides a vacuum for the modulus to roll down to stability. Further, this model is shown to be consistent with the swampland conjecture to qualify as a viable candidate in the low-energy description of string landscape