ScholarWorks@성균관대학교

초록

The BPS limit of the inhomogeneous abelian Higgs model is considered in (1 + 2)-dimensions. The second order Bogomolny equation is examined in the presence of an inhomogeneity expressed as a function of spatial coordinates. Assuming a physically reasonable upper bound on the L2(R2) norm of the inhomogeneity function, we prove the existence and uniqueness of nontrivial BPS vacuum solution of zero energy and topological BPS multi-vortex solutions of quantized positive energies.

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