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.
D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
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We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.
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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.