Twistor Theory & Dualities in Topological Strings

0:00 ...agrees with the square of the topological string. So this is a sort of, this is a candidate beginning of a non-preservative description of the V model. Okay, so now I promised that I was going to give you some relation to the twister string, and now this is the first moment when I want to make a sort of wild speculation. So far, we just talked about the closed string, but you can ask the question, could something similar have existed for the open string B model? So the open string B model, we know, is the polomorphic trans-Simon theory, and you can ask for a sort of non-tireble version of that. Well, if it existed, it would be related to, rather than studying three poles with complex structures, which are the classical solutions of the Tadar Spencer theory, you would be of the whole-morphic trans-simons theory, which is moduli of whole-morphic vector bundles. So, the integrability condition that you want to get here is that the zero-two part of the curvature of a gauge field should manage. Well, I don't know. If there exists such a recoding of the open string of the whole-morphic trans-simons, which is actually related to the square of the whole-morphic trans-simons fraction function, It might help us to understand some features of the non-preferbative open string B model in the same way that this history formulation is relevant to the non-preferbative closed string B model. This relation reminds me a little bit of the fact that there's, for the ordinary turn time, there's something called EF theory, which computes, if I understand correctly, the square of the turn time of the present. So maybe what we're looking for is some kind of homework that we get through. Um, well, as a little bit of additional evidence, um, that this might be interesting, I just want to remark that, uh, in the witness talk yesterday, um, he suggested the need for some, well, he suggested that the integral over moduli of the D1 brain hasn't been satisfactorily formulated yet. The correction that he was proposing was, among other things, to integrate over both the moduli and their antiholomorphic part. In other words, they do have a non-paro version of that interval. But it's supposed to be set up in such a way that it isn't holomorphic. Right. The answer should be holomorphic. Yes, absolutely. Nevertheless, based on the

2:30 other things that we know about the non-perturbative topological strain, you might think of something I guess I'm almost out of time, in a couple of minutes. Okay. Let's see. In fact, then, I think I'll just give the advertisement. So, this reformulation of the closed string D model in terms of Hitchens Functional has a sort of parallel in the closed string A model, and these two reformulations together Another feature prominently in this conjecture in topological n theory, which will be discussed with it in certain discussions. And in topological n theory, you also see hints of another structure, namely the A model s, where the model both appear. Their degrees of freedom in six dimensions appear as actually canonically conjugate variables in the combination of a seven-dimensional theory that you build on the Calabi-Yau times r times times. So that leads you to the conjecture that the A and B model could be somehow moving one another. And there's an additional story about that S-duality, but as it's even more dependent than what I've told you so far, if I'm running out of time, this might be a simple Well, thank you for giving me some good questions. Other questions, please. When you use the B of D model out of the I before F to the 4 B minus 4, can't they use that because I think F's expectation, can't they use that because F's in the long distribution? Yeah, it's possible that you can. Yeah, it might be that you can do that. Okay, if there are no other questions, we have Let's start again at 25.11. Let's thank Andrew Watson.