Elliptic genera of Berglund-Hübsch models

Details Elliptic genera of Berglund-Hübsch models Elliptic genera of Berglund-Hübsch models

2010-12-25

arxiv.org/abs/1012.5442v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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