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arxiv: 1012.5442 · v1 · pith:TBRTTU7Onew · submitted 2010-12-25 · 🧮 math.AG

Elliptic genera of Berglund-H\"ubsch models

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keywords ellipticgenusberglund-hubschalgebraequalformgenera
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We match the elliptic genus of a Berglund-H\"ubsch model with the supertrace of $y^{J[0]}q^{L[0]}$ on a vertex algebra $V_{{\bf 1}, {\bf 1}}$. We show that it is a weak Jacobi form and the elliptic genus of one theory is equal to (up to a sign) the elliptic genus of its mirror.

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