Conformal bootstrap and Mirror symmetry of states in Gepner models

TL;DR

This paper develops explicit constructions of states in Gepner model orbifolds, demonstrating their role in defining mirror pairs of superstring compactifications and explicitly constructing the IIA/IIB mirror map.

Contribution

It introduces new state constructions based on spectral flow and operator algebra, linking them to mirror symmetry in Gepner models and superstring theory.

Findings

Construction of mirror pairs via orbifold group duality

Explicit IIA/IIB mirror map in light-cone gauge

Generalization of state constructions to Gepner models

Abstract

We consider two explicit constructions of states in the orbifolds of a product of Minimal $N=(2,2)$ models which are based on twisting by spectral flow, mutual locality and operator algebra requirement. It is shown that these two constructions lead to the Berglund-Hubsh-Krawitz dual orbifold groups which define mirror pairs of isomorphic models. Then we generalize our construction for the orbifolds of Gepner models of superstring compactification and explicitly build IIA/IIB mirror map of the space of states of the superstrings using light-cone gauge.