09:48:06 From Igor Klebanov to Everyone: Good questions, but in DLCQ it is not easy to study topologically non-trivial sectors. This is why we added heavy physical fundamentals to kind of probe the fundamental Wilson loop. The good news is that it worked well. 09:49:49 From Igor Klebanov to Everyone: Also, I want to stress that theory T' is a mental crutch to explain the "miracles" observed for theory T (massless adjoint and massive fundamental). 09:54:21 From Aleksey Cherman to Everyone: I see, thank you very much - indeed, it is very nice to see that the story stays consistent when adding dynamical fundamentals. I suspect that what’s going is that the DLCQ-regularized adjoint theory has topological line operators charged under the 1-form symmetry, even at finite K. 09:54:35 From Aleksey Cherman to Everyone: It would be nice to see this explicitly! 09:54:40 From Aleksey Cherman to Everyone: (If it’s true) 09:58:46 From Igor Klebanov to Everyone: The DLCQ at finite K is not really "physical." But the good news is that at finite K there are EXACT degeneracies due to the Kac-Moody structure, which allow to prove some statements about the "physical" large K limit. 10:00:36 From Silviu Pufu to Everyone: Aleksey: If there is such a symmetry, then it’s possible that one would be able to see it only after figuring out how to use DLCQ to study the non-trivial flux sectors as well… It would be very interesting to do this. 10:01:32 From Jaume Gomis to Everyone: this will require studying system with periodic boundary conditions and taking care of gauge zero modes 10:02:41 From Aleksey Cherman to Everyone: I suspect that these topological operators have to be there, but indeed one would have to be careful with the zero modes to have any chance to see them…. Would be very interesting if one could show that they are there. 10:03:21 From Aleksey Cherman to Everyone: To me it sounds quite non-trivial to explicitly show that there is even one non-perturbative regulator that preserves these kind of non-invertible symmetries 10:04:41 From Zohar Komargodski to Everyone: There are lattice systems with tons of noninvertible lines 10:11:21 From Aleksey Cherman to Everyone: Zohar: yes, that’s true. But I think it would be interesting to find QCD-like examples.