Path integral formulation of the Hodge duality on the brane

Journal Article · Wed Aug 15 00:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.64.047502· OSTI ID:40230621

Hahn, Sang-Ok; Kiem, Youngjai; Kim, Yoonbai; Oh, Phillial

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 antisymmetric tensors cannot. By explicitly requiring the Hodge duality, a prescription to resolve this puzzle was recently proposed by Duff and Liu. In this Brief Report, we implement the Hodge duality via the 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.

• Sponsoring Organization: (US)
• OSTI ID: 40230621
• Journal Information: Physical Review D, Vol. 64, Issue 4; Other Information: DOI: 10.1103/PhysRevD.64.047502; Othernumber: PRVDAQ000064000004047502000001; 082116PRD; PBD: 15 Aug 2001; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPACTIFICATION
DUALITY
SCALAR FIELDS