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seen Jul 24 at 21:33

Jul
2
awarded  Curious
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
I had a first read. Thank you! If I was to rephrase the answer in layman's words could I say that the effect of twisting and braiding doesn't change the dimension since the fusion H. space is the H. space of the anyonic system and as such already knows about these transformations? A second question would still direct to the partition function on $S^2\times I$ with sources which could be braided. If one braided source a with b and then compactified the time interval to the circle $S^1$ the partition function would not be the same as in the unbraided case. How can I connect this to your answer?
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
Cool. I am eager to read your explanation. Maybe you could adress the point about the partition function with and without braiding then because from this point of view I am getting most of the trouble.
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
Well, according to the prescription given in source 4 of my post one also has: $Z(S^2\times S^1; R_i)=\delta_{i 0}$ and $Z(S^2\times S^1; R_i, R_j)=\delta_{i j}$. If we braid charge i and j this could be unraveled giving a twist, so $\delta$ times a phase. The same holds for the fusion multiplicities and should have an impact in the product of $N$s above. The $S^1$ in the partition function arises from compactifying the time interval. Source 4 says that $Z(S^2\times S^1; no braid)\neq Z(...; braid)$ if I don't get it wrong. Maybe I confuse things...
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
edited body
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
edited tags
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
added 1 character in body
Jun
23
awarded  Custodian
Jun
23
reviewed Edit suggested edit on Anyons: Effect of braiding on fusion multiplicities
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
Added links (they make the article more accessible for a bigger community)+ edited tags + general editing
Jun
23
asked Anyons: Effect of braiding on fusion multiplicities
Feb
12
awarded  Disciplined
Jan
12
accepted Experimental evidence for non-abelian anyons?
Jan
12
accepted Vector potential $A$ on a 2-sphere $S^2$ of radius $R$ with some points removed
Jan
6
comment Experimental evidence for non-abelian anyons?
"We stress that the presence of such a period is indicative of a non-Abelian nature of the ν = 5/2 state." Just an indication it seems...
Jan
6
comment Vector potential $A$ on a 2-sphere $S^2$ of radius $R$ with some points removed
David, were you able to take a look onto the problem?
Jan
6
comment Vector potential $A$ on a 2-sphere $S^2$ of radius $R$ with some points removed
Well, that could be, if you need a physical intuition. It is constrained to live on $S^2$.
Jan
6
comment Experimental evidence for non-abelian anyons?
Thanks, but arent there also other candidate systems proposed? Could you also provide links for them, please?
Jan
6
comment Experimental evidence for non-abelian anyons?
Both please! Theoretical description of candidate systems and whether experimental progress has been made.
Jan
6
accepted Invariance, covariance and symmetry