Re: boson calculus and half inter spin? huh?

johndevers@xxxxxxxxxxxxxx wrote:
> Igor wrote:
> >
> > I think what might be confusing you is the fact that the classical
> > rotation group SO(3), which is equivalent to SU(2), has only integer
> > spin representations. SU(2), on the other hand, has both integer and
> > half-integer representations. So SU(2) covers more than just classical
> > rotations.
>
>
>
> Are these newly discovered quasiparticle anyons covered by SU(2) ?
>
>
>
>
> Experiments reveal particles that are neither fermions nor bosons--the
> two categories that encompass all other known particles.
>
> http://focus.aps.org/story/v16/st14

Interesting article, but I don't think anyons could be covered by
SU(2), since the representations of SU(2) are already well understood.
No room for anything other than bosons and fermions there. I'm not
well versed in the technical literature on anyons or even the Quantum
Hall Effect, but my own take is that they might be related to fractal
spaces, since these spaces can have fractional dimensionality. But the
next question is whether there are fractal groups.

.