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Exotic statistics for strings in 4d BF theory

2007
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Advances in Theoretical and Mathematical Physics
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After a review of exotic statistics for point particles in 3d BF theory, and especially 3d quantum gravity, we show that string-like defects in 4d BF theory obey exotic statistics governed by the "loop braid group". This group has a set of generators that switch two strings just as one would normally switch point particles, but also a set of generators that switch two strings by passing one through the other. The first set generates a copy of the symmetric group, while the second generates a

doi:10.4310/atmp.2007.v11.n5.a1
fatcat:r4npyyslhjdqpcvn6faistj3qy