Hodge duality on the brane

It has been claimed that whereas scalars can be bound to a Randall–Sundrum brane, higher p-form potentials cannot, in contradiction with the Hodge duality between 0-form and 3-form potentials in the five-dimensional bulk. Here we show that a 3-form in the bulk correctly yields a 2-form on the brane, in complete agreement with both bulk and brane duality. We also emphasize that the phenomenon of photon screening in the Randall–Sundrum geometry is ruled out by the bulk Einstein equation.