Timeline for Some fusion rings/categories I don't recognize
Current License: CC BY-SA 4.0
12 events
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| Feb 25 at 17:02 | history | edited | Sebastien Palcoux | CC BY-SA 4.0 |
About the two last ones
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| Feb 25 at 17:01 | comment | added | Sebastien Palcoux | @Gert: About the two lasts, did you check whether they are zesting of the two others of same type, namely ch(Q_{16}) and ch(SD_{16})? | |
| Feb 25 at 13:02 | comment | added | Sebastien Palcoux | @Gert I edited my answer to add an info about the second fusion ring. | |
| Feb 25 at 13:01 | history | edited | Sebastien Palcoux | CC BY-SA 4.0 |
Comment of Eric about the second fusion rings
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| Feb 24 at 12:54 | comment | added | Gert | I only looked for zestings. But I didn't even calculate any F-symbols or so. I just tried to find all desired cocycles and all algebraic structures needed and looked at the effect on the multiplication in the fusion ring. It could be that the zestings I computed are even not realizable on the level of F-symbols or R-symbols. | |
| Feb 24 at 12:52 | comment | added | Sebastien Palcoux | @Gert Does your code classify the zestings, or the braided zestings? If it's the latter, being much more restrictive than the former, that could be an explanation. | |
| Feb 24 at 12:17 | comment | added | Sebastien Palcoux | @Gert I will also review it. It's great that you wrote a code for this purpose. The machine should be significantly more efficient than a human at this type of verification. | |
| Feb 24 at 12:11 | comment | added | Gert | Multiplicity-Free. I wrote a little application some time ago that tries all possible ways that a zesting could affect a fusion ring. When I applied it to the multiplicity-free fusion rings up to rank 7 I only find that each ring is related to at most one other ring via zesting. The software was written in a rush so it could very well be that I made a mistake somewhere. I'm in the last week before the PhD. deadline so don't have time for debugging but I'll redo the calculations afterwards. | |
| Feb 24 at 11:34 | comment | added | Sebastien Palcoux | @Gert Can you develop a bit your comment. What is MF? | |
| Feb 24 at 11:26 | comment | added | Gert | Thanks! That is interesting info! Sadly it also means there is something wrong with my zesting software since I only find orbits with 2 elements when I zest MF fusion rings up to rank 7 and according to the paper all rings of rank 6 with FPDim = 8 should be zestings of each other. :( | |
| Feb 24 at 11:12 | history | edited | Sebastien Palcoux | CC BY-SA 4.0 |
added 38 characters in body
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| Feb 24 at 10:53 | history | answered | Sebastien Palcoux | CC BY-SA 4.0 |