Duality and an Operator Realization for the Fermi-Bose Transmutation in 3+1 Dimensions

Details Duality and an Operator Realization for the Fermi-Bose Transmutation in 3+1 Dimensions Duality and an Operator Realization for the Fermi-Bose Transmutation in 3+1 Dimensions

1996-09-30

arxiv.org/abs/hep-th/9609231v1

Phys.Lett. B393 (1997) 383-386

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 8 pages

Scientific paper

10.1016/S0370-2693(96)01644-9

We consider the Maxwell-Higgs system in the broken phase, described in terms of a Kalb-Ramond field interacting with the electromagnetic field through a topological coupling. We then study the creation operators of states which respectively carry a point charge and a closed magnetic string in the electromagnetic language or a point topological charge and a closed Kalb-Ramond charged string in the Kalb-Ramond dual language. Their commutation relation is evaluated, implying they satisfy a dual algebra and their composite possesses generalized statistics. In the local limit where the radius of the string vanishes, only Fermi or Bose statistics are allowed. This provides an explicit operator realization for statistical transmutation in 3+1D.

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