Elliptic genera of Berglund-Hübsch models

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 $V_{1,1}$. 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.

12 pages

References in corpus (1)

• Elliptic Genera and Applications to Mirror Symmetry