The Asymmetric CFT Landscape in D=4,6,8 with Extended Supersymmetry

TL;DR

This paper explores the landscape of asymmetric conformal field theories in four, six, and eight dimensions with extended supersymmetry, classifying models and identifying novel classes including non-geometric flux compactifications.

Contribution

It provides a comprehensive classification of asymmetric simple-current extensions of Gepner models in D=4,6,8 with extended supersymmetry, revealing new classes and potential non-geometric flux backgrounds.

Findings

Models fall into a small number of classes

Identification of models related to non-geometric flux compactifications

Discovery of classes including dimensional reductions and asymmetric orbifolds

Abstract

We study asymmetric simple-current extensions of Gepner models in dimensions $D=4,6,8$ with at least eight supercharges in the right-moving sector. The models obtained in an extensive stochastic computer search belong to a small number of different classes. These classes can be categorized as dimensional reductions, asymmetric orbifolds with $(-1)^{F_L}$, extra gauge enhancement and as coming from the super Higgs-effect. Models in the latter class are particularly interesting, as they may correspond to non-geometric flux compactifications.