On Affine Orbifold Nets Associated with Outer Automorphisms

TL;DR

This paper constructs solitons in affine orbifold nets related to outer automorphisms and demonstrates that these constructions encompass all twisted representations of the fixed point subnet, clarifying key aspects of orbifold theory.

Contribution

It provides a comprehensive construction of solitons for affine orbifold nets associated with outer automorphisms, covering all twisted representations of the fixed point subnet.

Findings

All twisted representations are obtained via the constructed solitons.

The construction settles several open questions in orbifold theory.

The approach clarifies the structure of affine orbifold nets with outer automorphisms.

Abstract

We construct solitons in affine orbifold nets associated with outer automorphisms, and we show that our construction gives all the twisted representations of the fixed point subnet. This allows us to settle a number of questions concerning such orbifold constructions.