A bstract We describe the worldvolume for bosonic sector of lower-dimensional F-theory that embeds 5D, N=1 M-theory and 4D type II superstring. This theory is a complexification fundamental 5-brane 4D, 3D string in sense we make explicit at level Lagrangian Hamiltonian formulations. find three types section condition: spacetime, on worldvolume, one tying them together. The recovered from new by...