English

Quarter-BPS states in orbifold sigma models with ADE singularities

High Energy Physics - Theory 2017-06-27 v2 Algebraic Geometry

Abstract

We study the elliptic genera of two-dimensional orbifold CFTs, where the orbifolding procedure introduces du Val surface singularities on the target space. The N=4 character decompositions of the elliptic genus contributions from the twisted sectors at the singularities obey a consistent scaling property, and contain information about the arrangement of exceptional rational curves in the resolution. We also discuss how these twisted sector elliptic genera are related to twining genera and Hodge elliptic genera for sigma models with K3 target space.

Keywords

Cite

@article{arxiv.1704.02926,
  title  = {Quarter-BPS states in orbifold sigma models with ADE singularities},
  author = {Kenny Wong},
  journal= {arXiv preprint arXiv:1704.02926},
  year   = {2017}
}

Comments

13 pages + appendix. v2: minor changes, including additional references