[qnleigh]

I'm not the best person to answer this, but my understanding is yes. The claim is that it's an almost ubiquitous phenomenon; many theories, I think even including non-supersymmetric theories, have something similar going on where a geometric object can determine the results of certain Feynman diagram calculations (maybe still only at tree level). There was even an example I saw in a lecture where some topics that would be taught in a first year quantum field theory course fit into this framework.

Nima Arkani-Hamed has a bunch of lectures on YouTube that are pretty entertaining, and while they can get quite technical, he says a lot that can be appreciated without understanding the details.

[gexaha]

Thanks! I saw a couple of his lectures on YouTube, and it's very difficult to understand, whether it is just marketing, or there is some progress going on in the topic