cannot affect observables. Anyons are generally classified as abelian or non-abelian. Abelian anyons, detected by two experiments in 2020, play a major role
individual particles (themselves composite) which are governed by non-Abelianstatistics. The concept goes back to Majorana's suggestion in 1937 that electrically
class of topological order: non-Abelian quantum Hall states. They contain emergent particles with non-Abelianstatistics which generalizes the well known
breaking theory. The associated fractional charge, fractional statistics, non-Abelianstatistics, chiral edge states, etc. demonstrate the power and the fascination
transformation in the Hilbert space (see non-Abelian anyons). A similar notion exists using a loop braid group. Braid statistics are applicable to theoretical particles