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In the large flux limit vortices become flux tubes with almost constantmagnetic field in the interior region. This occurs in the case of non-Abelianvortices as well, and the study of such configurations allows us to reveal aclose relationship between vortex zero modes and the gyromagnetic instabilitiesof vector bosons in a strong background magnetic field discovered by Nielsen,Olesen and Ambj{\o}rn. The BPS vortices are exactly at the onset of thisinstability, and the dimension of their moduli space is precisely reproduced inthis way. We present a unifying picture in which, through the study of thelinear spectrum of scalars, fermions and W bosons in the magnetic fieldbackground, the expected number of translational, orientational, fermionic aswell as semilocal zero modes is correctly reproduced in all cases.

Vortex Zero Modes, Large Flux Limit and Ambj{\o}rn-Nielsen-Olesen Magnetic Instabilities