A note on BPS vortex bound states

Abstract

In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. Aclass of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analyzingthe spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. Afew of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed.