Quantum McKay correspondence for disc invariants of toric Calabi-Yau 3-orbifolds

TL;DR

This paper establishes a quantum McKay correspondence for disc invariants in toric Calabi-Yau 3-orbifolds, providing a new link between orbifold geometry and string theory, demonstrated through a specific example involving a $ ext{C}^3/ ext{Z}_5$ orbifold.

Contribution

It introduces a quantum McKay correspondence for disc invariants in toric Calabi-Yau 3-orbifolds, expanding the understanding of orbifold invariants in string theory.

Findings

Established quantum McKay correspondence for disc invariants

Applied method to a specific orbifold example

Illustrated the correspondence with explicit calculations

Abstract

We announce a result on quantum McKay correspondence for disc invariants of outer legs in toric Calabi-Yau 3-orbifolds, and illustrate our method in a special example $[\mathbb C^3 /\mathbb Z_5 (1, 1, 3)]$.