Dirac Quantisation Conditions and Kaluza-Klein Reduction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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40 pages, Latex

Scientific paper

10.1016/S0550-3213(98)00369-1

We present the form of the Dirac quantisation condition for the p-form charges carried by p-brane solutions of supergravity theories. This condition agrees precisely with the conditions obtained in lower dimensions, as is necessary for consistency with Kaluza-klein dimensional reduction. These considerations also determine the charge lattice of BPS soliton states, which proves to be a universal modulus-independent lattice when the charges are defined to be the canonical charges corresponding to the quantum supergravity symmetry groups.

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