The Open Descendants of Non-Diagonal SU(2) WZW Models

TL;DR

This paper constructs open string models from non-diagonal SU(2) WZW models, specifically E7 and D_odd series, analyzing their structure and charge sectors within the framework of conformal field theory.

Contribution

It extends the open descendant construction to non-diagonal SU(2) WZW models, detailing their structure and charge sector embeddings.

Findings

Successfully constructed open descendants for E7 and D_odd models.

Analyzed the role of the crosscap constraint in model structure.

Demonstrated embedding of Chan-Paton sectors into diagonal models.

Abstract

We extend the construction of open descendants to the $SU(2)$ WZW models with non-diagonal left-right pairing, namely $E_7$ and the $D_{odd}$ series in the $ADE$ classification of Cappelli, Itzykson and Zuber. The structure of the resulting models is determined to a large extent by the ``crosscap constraint'', while their Chan-Paton charge sectors may be embedded in a general fashion into those of the corresponding diagonal models.