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Sep 14, 2023 at 21:48 comment added Jules Lamers @QGravity Glad this helps! To be honest I have never really looked at the toric code, so I can try have a look one of these days to see what is meant and get back to you, but I don't know
Sep 14, 2023 at 20:36 comment added QGravity Brilliant answer, thanks a lot. There is so much confusing literature/terminology on the topic. It is hopeless to follow for a non-expert. Regarding the second question, there is still a local representation space like $\mathbb{C}^2$. I am just confused (maybe at the level of terminology) when condensed-matter physicists say some $\mathbb{Z}_2$ integrable model (such as toric code) what they exactly mean. Do they mean "many conserved charges" or "Yang-Baxter integrable"? if they are the latter, then for example, for say $\mathbb{Z}_N$ toric code, what is the relevant quantum group?
Sep 14, 2023 at 20:27 vote accept QGravity
Sep 14, 2023 at 16:20 history answered Jules Lamers CC BY-SA 4.0