It is generally believed that the spontaneous breaking of the Poincaré group by flux tubes (strings) generates only two zero modes localized on the string and associated with the spontaneous breaking of translational invariance (the so-called Low-Manohar argument). Being perfectly true in many instances this argument is nevertheless nonuniversal and has to be amended in the case of order parameters carrying spatial indices. We show that under certain circumstances additional zero (or quasizero) modes can appear due to spin symmetry.
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