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Current algebra and exotic statistics in 6 dimensions

Jouko Mickelsson
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Abstract

By studying ordinary chiral fermions in background gauge fields we show that in the case of gauge group SU(3) and space-time dimension 5+1 localized solitons obey $q-$ commutation relations with $q$ not equal to $\pm 1$ but a third root of unity.

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Jouko Mickelsson. 1998-01-20. Current algebra and exotic statistics in 6 dimensions. https://doi.org/10.1103/physrevlett.80.5267

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