Kaluza-Klein Reduction in a Warp Geometry Revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTex 2e, mistakes of massive cases are corrected

Scientific paper

10.1143/PTP.106.979

We study the Kaluza-Klein dimensional reduction of zero-modes of bulk antisymmetric tensor fields on a non-compact extra dimension in the Randall-Sundrum model. It is shown that in the Kaluza-Klein reduction on a non-compact extra dimension we have in general a zero-mode depending on a fifth dimension in addition to a conventional constant zero-mode in the Kaluza-Klein reduction on a circle. We examine the localization property of these zero-modes on a flat Minkowski 3-brane. In particular, it is shown that a 2-form and a 3-form on the brane can be respectively obtained from a 3-form and 4-form in the bulk by taking the zero-mode dependent on the fifth dimension.

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