Path integral formulation of Hodge duality on the brane

Details Path integral formulation of Hodge duality on the brane Path integral formulation of Hodge duality on the brane

2001-03-30

arxiv.org/abs/hep-th/0103264v1

Phys.Rev. D64 (2001) 047502

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX

Scientific paper

10.1103/PhysRevD.64.047502

In the warped compactification with a single Randall-Sundrum brane, a puzzling claim has been made that scalar fields can be bound to the brane but their Hodge dual higher-rank anti-symmetric tensors cannot. By explicitly requiring the Hodge duality, a prescription to resolve this puzzle was recently proposed by Duff and Liu. In this note, we implement the Hodge duality via path integral formulation in the presence of the background gravity fields of warped compactifications. It is shown that the prescription of Duff and Liu can be naturally understood within this framework.

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