Explicit construction of $N = 2$ SCFT orbifold models. Spectral flow and mutual locality

TL;DR

This paper introduces a new method for explicitly constructing N=2 superconformal field theory orbifold models for Calabi-Yau compactifications, utilizing spectral flow twisting and mutual locality conditions.

Contribution

It provides a systematic approach to build complete field sets in N=2 SCFT orbifold models, enhancing understanding of their structure in string compactifications.

Findings

Explicit construction of N=2 SCFT orbifold models

Use of spectral flow twisting to generate fields

Ensured mutual locality of fields in models

Abstract

In this work we present a new approach to constructing Calabi-Yau orbifold models required for compactification in superstring theory. We use the connection of CY orbifolds with the class of exactly solvable N=2 SCFT models to explicitly construct a complete set of fields in these models using the twisting of the spectral flow and the requirement of mutual locality of the fields.