On Orbifolds with Discrete Torsion

TL;DR

This paper explores the classical geometric interpretation of orbifolds with discrete torsion in conformal field theories, revealing stringy regions that appear as singularities and providing clear examples of mirror symmetry.

Contribution

It offers new insights into the geometric nature of orbifolds with discrete torsion and their role in mirror symmetry, highlighting the presence of unresolved stringy singularities.

Findings

Stringy regions in orbifolds with discrete torsion are classical singularities.

Some models serve as simple examples of mirror symmetry.

These singularities are neither resolved nor blown up in the classical picture.

Abstract

We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain ``stringy regions'' that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.