Duality of boundary value problems and braneworld action in curved brane models Original Research Article

Braneworld effective action is constructed by two different methods based respectively on the Dirichlet and Neumann boundary value problems. The equivalence of these methods is shown due to non-trivial duality relations between special boundary operators of these two problems. Previously known braneworld action algorithms in two-brane Randall–Sundrum model are generalized to d-dimensional curved branes with de Sitter and anti-de Sitter geometries. Implications of the obtained algorithms in braneworld scenarios and in the cosmological constant and cosmological acceleration problems are briefly discussed.