Quarter-BPS states in orbifold sigma models with ADE singularities

Abstract

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 $$ \mathcal{N}=4 $$ characterdecompositionsoftheellipticgenuscontributionsfromthetwistedsectors 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

• Sigma Models
• Conformal Field Theory