Self-Dual Charged Vortices of Finite Energy per Unit Length in $3+1$ Dimensions

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We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit length is obtained as a linear combination of the magnetic flux and the electric charge per unit length.
10 pages, RevTeX, IP/BBSR/94-14

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