Spin-1/2 Collective Excitations in BEC of Interacting Spin-1 Atoms

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We construct spin-1/2 collective excitations in BEC of interacting spin-1 atoms. These excitations exist in states with a maximal global degeneracy. The stability and energy of these objects are determined by interactions with spin fluctuations and are studied based on a duality relation between hyper-monopoles and magnetic monopoles in physical space.
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