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Comment on Mathematicians trace source of Rogers-Ramanujan identities, find algebraic gold

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Can someone enlighten me as to how, as the article states, the Rogers-Ramanujan identities have played a role in Physics?

Considering statistical mechanics as a branch of physics: https://en.wikipedia.org/wiki/Hard_hexagon_model

Yes, I am curious to understand what sort of problems may be solved with this result. I know just enough number theory to be impressed by the finding, but I'm no mathematician and had to stop reading around page 6 of the paper :(

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