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arXiv · 1012.5442

Elliptic genera of Berglund-Hübsch models

Minxian Zhu
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Abstract

We match the elliptic genus of a Berglund-Hübsch 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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Minxian Zhu. 2010-12-25. Elliptic genera of Berglund-Hübsch models. https://arxiv.org/abs/1012.5442

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