Can somebody please explain the occupation state rule for anyons? For fermions, they follow the pauli exclusion principle, while multiple bosons can occupy the same state. I understand that anyons have properties that are intermediate to those of fermions and bosons, but I cannot understand how this intermediary affects the occupation state rules for anyons.
Also, why are there only two types of particles (bosons and fermions) in 3D and higher? Why can they not be found in 2D and lower? and why are anyons are found in 2D and lower dimensions?
Any simpler explanations would be greatly appreciated. I have not studied topology at all. However, statements like "Only fermions and bosons are found in 3D and higher dimensions while anyons are found in 2D and lower dimensions" are very common in most condensed matter physics papers. These papers do not delve into more details and these statements are taken as facts.
Thanks
