The Outer-Automorphic WZW Orbifolds on so(2n), including Five Triality Orbifolds on so(8)

TL;DR

This paper explores the dynamics of outer-automorphic WZW orbifolds on so(2n), including detailed twisted KZ equations, and constructs specific triality orbifolds on so(8) using Cartesian bases.

Contribution

It provides the first detailed analysis of twisted sectors and KZ equations for all outer-automorphic WZW orbifolds on so(2n), including explicit triality orbifolds on so(8).

Findings

Derived twisted KZ equations for all sectors.

Constructed two Z3 triality orbifolds on so(8).

Constructed three S3 triality orbifolds on so(8).

Abstract

Following recent advances in the local theory of current-algebraic orbifolds we present the basic dynamics - including the {\it twisted KZ equations} - of each twisted sector of all outer-automorphic WZW orbifolds on so(2n). Physics- friendly Cartesian bases are used throughout, and we are able in particular to assemble two $Z_3$ triality orbifolds and three $S_3$ triality orbifolds on so(8).