Corpus ID: 236447436

Moonshine at Landau-Ginzburg points

@inproceedings{Cldraru2021MoonshineAL,
  title={Moonshine at Landau-Ginzburg points},
  author={A. Căldăraru and Yunfan He and Shengyuan Huang},
  year={2021}
}
We formulate a conjecture predicting unexpected relationships among the coefficients of the elliptic expansions of Klein’s modular j-function around j = 0 and j = 1728. Our conjecture is inspired by recent developments in mirror symmetry, in particular by work of Tu [Tu19] computing categorical enumerative invariants of matrix factorization categories and by work of Li-Shen-Zhou [LSZ20] computing FJRW invariants of elliptic curves. 
Proof of the elliptic expansion Moonshine Conjecture of C\u{a}ld\u{a}raru, He, and Huang
Using predictions in mirror symmetry, Căldăraru, He, and Huang recently formulated a “Moonshine Conjecture at Landau-Ginzburg points” [6] for Klein’s modular jfunction at j = 0 and j = 1728. TheExpand

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