A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE
A. P. Balachandran, Alan Daughton, Zheng‐Cheng Gu, Giuseppe Marmo, Rafael D. Sorkin, Ajit Mohan Srivastava · Modern Physics Letters A · 1990
A spin-statistics theorem for spinning particles in ℝd is proved without using relativity or field theory, but assuming the existence of antiparticles. The theorem excludes non-abelian statistics such as parastatistics of order 2 and more for d≥3 and statistics based on nonabelian representations of the braid groups for d=2.