Moonshine at Landau-Ginzburg points

Andrei Caldararu; Yunfan He; Shengyuan Huang

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arXiv · 2107.12405

Moonshine at Landau-Ginzburg points

Andrei Caldararu·Yunfan He·Shengyuan Huang

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Abstract

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 computing categorical enumerative invariants of matrix factorization categories and by work of Li-Shen-Zhou computing FJRW invariants of elliptic curves.

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Andrei Caldararu, Yunfan He, Shengyuan Huang. 2021-07-26. Moonshine at Landau-Ginzburg points. https://arxiv.org/abs/2107.12405

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