Duality on Higher Order U(1) Bundles

Details Duality on Higher Order U(1) Bundles Duality on Higher Order U(1) Bundles

1997-01-04

arxiv.org/abs/hep-th/9701010v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, one figure. References and comment added

Scientific paper

A new global approach in the study of duality transformations is introduced. The geometrical structure of complex line bundles is generalized to higher order U(1) bundles which are classified by quantized charges and duality maps are formulated over these structures. Quantum equivalence is shown between dual theories. A global constraint is proven to be needed to achieve well defined bundles. These global structures are used to refine the proof of the duality equivalence between d=11 supermembrane and d=10 IIA Dirichlet supermembrane, giving a complete topological interpretation to their quantized charges.

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