Dirac Quantisation Conditions and Kaluza-Klein Reduction

Abstract

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.

40 pages, Latex

References in corpus (6)

• The Power of M Theory
• p-brane Solitons in Maximal Supergravities
• A note on brane tension and M-theory
• Supermembranes with fewer supersymmetries
• Weyl Group Invariance and p-brane Multiplets
• Vertical versus Diagonal Dimensional Reduction for p-branes

Cited by in corpus (10)

• Microscopic Formulation of Black Holes in String Theory
• Asymptotic Symmetries in $p$-Form Theories
• Static and radiating p-form black holes in the higher dimensional Robinson-Trautman class
• Braneworld localisation in hyperbolic spacetime
• Large Gauge Transformations in M-theory
• Symplectic reduction of p-form electrodynamics
• A note on "gaugings" in four spacetime dimensions and electric-magnetic duality
• Dyonic Black Strings and the Charge Lattice in Salam-Sezgin model
• Pairwise Helicity in Higher Dimensions
• Form-field Gauge Symmetry in M-theory