Spectral flow construction of mirror pairs of CY orbifolds

TL;DR

This paper demonstrates that certain Calabi-Yau orbifolds derived from N=(2,2) supersymmetric models form mirror pairs through spectral flow constructions, aligning with Berglund-Hübsch-Krawitz duality.

Contribution

It explicitly constructs mirror pairs of CY orbifolds using spectral flow, connecting them to dual admissible groups in a canonical way.

Findings

CY orbifolds form mirror pairs via spectral flow

Mirror pairs correspond to dual admissible groups

Explicit construction confirms mirror symmetry in this context

Abstract

We consider the CY orbifolds connected with the products of N = (2, 2) supersymmetric minimal models. We use the spectral flow construction of states, as well as its mirror one, to explicitly show that these CY orbifolds are canonically combined into mirror pairs of isomorphic models, associated to the mutually dual pairs of admissible groups of Berglund- Hubsh-Krawitz.