Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.
Massless Localized Vector Field on a Wall in D=5 SQED with Tensor Multiplets
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abstract
Massless localized vector field is obtained in five-dimensional supersymmetric (SUSY) QED coupled to tensor multiplets as a half BPS solution. The four-dimensional gauge coupling is obtained as a topological charge. We also find all the (bosonic) massive modes exactly for a particular value of a parameter, demonstrating explicitly the existence of a mass gap. The four-dimensional Coulomb law is shown to hold for sources placed on the wall.
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The geodesic structure of BPS one-branes in five dimensions
Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.