The Spin pp 61-69 | Cite as

New Kinds of Quantum Statistics

  • Frank Wilczek
Part of the Progress in Mathematical Physics book series (PMP, volume 55)


I review the quantum kinematics of identical particles, which suggests new possibilities, beyond bosons and fermions, in 2+1 dimensions; and how simple flux-charge constructions embody the new possibilities, leading to both abelian and nonabelian anyons. I briefly allude to experimental realizations, and also advertise a spinor construction of nonabelian statistics, that has a 3+1 dimensional extension.


Braid Group Identical Particle Fractional Quantum Abelian Case Superselection Sector 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Frank Wilczek
    • 1
  1. 1.Department of PhysicsMassachusetts Institute of TechnologyCambridgeUSA

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