Take the 2-minute tour ×   1. Why non integer spins obey Fermi
statistics?    2. Why is fractional statistics and non-Abelian
common for fractional charges?  share|improve this question add
comment  2 Answers  Both fractional/non-Abelian statistics and
fractional charges come from the same origin: long-range
entanglements. This is why fractional/non-Abelian statistics
common for fractional charges.  One way to realize long-range
entanglements is through the string-net liquid phase of a pure
bosonic model. The ends of strings in string-net liquid are non-
local and are topological defects. They can have fractional
statistics. The ends of strings can also carry fractional
charges/spins due to the same reason: the ends of strings are
non-local and are topological defects.  My recent paper explains
such a phenomenon in simple terms. See also Topological Charge.
What is it Physically?  share|improve this answer add comment
Half-integer spin particles obey Fermi-Dirac statistics and
integer spin fields obey the Bos