Anyons with fractional statistics are possible in 2 spatial dimensions, as shown by Wilczek. Suppose we have two identical anyons of spin 1/pq, where p and q are integers more than 1. Then, interchanging both of them will pick up a phase factor of e−2πi/pq, right? Suppose there is a bound state of p such anyons. Then, they've got to have a spin of 1/q. However, interchanging two such identical bound states will pick up a phase factor of e−2πip/q instead of e−2πi/q?
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