Topological Spin-Statistics Theorem for Strings

Details Topological Spin-Statistics Theorem for Strings Topological Spin-Statistics Theorem for Strings

1992-02-14

arxiv.org/abs/hep-th/9202052v1

Mod. Phys. Lett. A7 (1992) 1427-1442

Physics

High Energy Physics

High Energy Physics - Theory

15pp

Scientific paper

Recently, a topological proof of the spin-statistics Theorem has been proposed for a system of point particles which does not require relativity or field theory, but assumes the existence of antiparticles. We extend this proof to a system of string loops in three space dimensions and show that by assuming the existence of antistring loops, one can prove a spin-statistics theorem for these string loops. According to this theorem, all unparametrized strings(such as flux tubes in superconductors and cosmic strings ) should be quantized as bosons. Also, as in the point particle case, we find that the theorem excludes nonabelian statistics.

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