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arXiv · hep-th/9202052

Topological Spin-Statistics Theorem for Strings

A. P. Balachandran·W. D. McGlinn·L. O'Raifeartaigh·S. Sen·R. D. Sorkin·A. M. Srivastava
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Abstract

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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A. P. Balachandran, W. D. McGlinn, L. O'Raifeartaigh, S. Sen, R. D. Sorkin, A. M. Srivastava. 1992-02-14. Topological Spin-Statistics Theorem for Strings. https://doi.org/10.1142/s0217732392001105

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