Path integral formulation of the Hodge duality on the brane - art. no. 047502

In the warped compactification with a single Randall-Sundrum brane, a puzzl ing claim has been made that scalar fields can be bound to the brane but th eir Hodge dual higher-rank antisymmetric tensors cannot. By explicitly requ iring the Hodge duality, a prescription to resolve this puzzle was recently proposed by Duff and Liu. In this Brief Report, we implement the Hodge dua lity via the path integral formulation in the presence of the background gr avity fields of warped compactifications. It is shown that the prescription of Duff and Liu can be naturally understood within this framework.