Duality, Self-Duality, Sources and Charge Quantization in Abelian N-Form Theories

Details Duality, Self-Duality, Sources and Charge Quantization in Abelian N-Form Theories Duality, Self-Duality, Sources and Charge Quantization in Abelian N-Form Theories

1997-02-26

arxiv.org/abs/hep-th/9702184v1

Phys.Lett.B400:80-86,1997

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1016/S0370-2693(97)00338-9

We investigate duality properties of N-form fields, provide a symmetric way of coupling them to electric/magnetic sources, and check that these charges obey the appropriate quantization requirements. First, we contrast the D=4k case, in which duality is a well-defined SO(2) rotation generated by a Chern-Simons form leaving the action invariant, and D=4k+2 where the corresponding ostensibly SO(1,1) rotation is not only not an invariance but does not even have a generator. When charged sources are included we show explicitly in the Maxwell case how the usual Dirac quantization arises in a fully symmetric approach attaching strings to both types of charges. Finally, for D=4k+2 systems, we show how charges can be introduced for self-dual (2k)-forms, and obtain the D=4k models with sources by dimensional reduction, tracing their duality invariance to a partial invariance in the higher dimensions.

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