English

Elliptic genera of Berglund-H\"ubsch models

Algebraic Geometry 2010-12-30 v1

Abstract

We match the elliptic genus of a Berglund-H\"ubsch model with the supertrace of yJ[0]qL[0]y^{J[0]}q^{L[0]} on a vertex algebra V1,1V_{{\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.

Cite

@article{arxiv.1012.5442,
  title  = {Elliptic genera of Berglund-H\"ubsch models},
  author = {Minxian Zhu},
  journal= {arXiv preprint arXiv:1012.5442},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T17:04:06.964Z