[sno129]

I wouldn't consider the Hodge diamond the "crucial idea from string theory." It's a pretty basic/fundamental concept in geometry and really doesn't a priori have much to do with string theory. The decomposition they give on page 6 probably predates most of the development of string theory.

[gsf_emergency_6]

I "blame" Quantamagazine for this.. upselling string theory via Kontsevich, because I don't think there's anything in this work related to string theory other than the Hodge diamond + related "elementary" symmetries (see my other unedited comment in response to a geometer)

It was probably not intentional, though, and might trigger noone besides snobs like us :)

[calf]

There's different ways to define "related", here what does Quanta explicitly claim is "related", plausibly without looking maybe they meant historically related but not conceptually related.