Kaluza-Klein Reduction in a Warped Geometry Revisited | Zendy

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Kaluza-Klein Reduction in a Warped Geometry Revisited

Author(s) -

Ichiro Oda

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.106.979

Subject(s) - physics , zero mode , dimensional reduction , kaluza–klein theory , minkowski space , brane , antisymmetric tensor , zero (linguistics) , reduction (mathematics) , dimension (graph theory) , tensor (intrinsic definition) , antisymmetric relation , brane cosmology , randall–sundrum model , mathematical physics , theoretical physics , geometry , pure mathematics , mathematics , gauge theory , philosophy , linguistics

We study the Kaluza-Klein dimensional reduction of zero-modes of bulkantisymmetric tensor fields on a non-compact extra dimension in theRandall-Sundrum model. It is shown that in the Kaluza-Klein reduction on anon-compact extra dimension we have in general a zero-mode depending on a fifthdimension in addition to a conventional constant zero-mode in the Kaluza-Kleinreduction on a circle. We examine the localization property of these zero-modeson a flat Minkowski 3-brane. In particular, it is shown that a 2-form and a3-form on the brane can be respectively obtained from a 3-form and 4-form inthe bulk by taking the zero-mode dependent on the fifth dimension.Comment: 11 pages, LaTex 2e, mistakes of massive cases are correcte

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