Systematic approach to cyclic orbifolds

TL;DR

This paper presents a systematic method for constructing cyclic orbifolds and their twisted sectors, enabling the derivation of orbifold characters and understanding their modular properties in conformal field theory.

Contribution

It introduces an orbifold induction procedure that generalizes current-algebraic constructions to cyclic orbifolds, including twisted sectors.

Findings

Constructed orbifold characters and their modular transformations.

Unified framework for cyclic orbifold construction.

Enhanced understanding of twisted sectors in orbifold theories.

Abstract

We introduce an orbifold induction procedure which provides a systematic construction of cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the orbifold theory of all the current-algebraic constructions of conformal field theory and enables us to find the orbifold characters and their modular transformation properties.