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arxiv: hep-th/9710244 · v1 · submitted 1997-10-31 · ✦ hep-th

Dirac Quantisation Conditions and Kaluza-Klein Reduction

classification ✦ hep-th
keywords chargesconditionconditionsdirackaluza-kleinlatticequantisationreduction
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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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