Type I Vacua from Diagonal $Z_3$-Orbifolds

TL;DR

This paper explores the construction of Type I vacua from diagonal $Z_3$-orbifolds, analyzing their consistency, geometric moduli, and fixed-point resolutions in various dimensions.

Contribution

It provides a detailed analysis of open descendants of diagonal irrational $Z_3$ orbifolds, highlighting the role of geometric discrete moduli and fixed-point ambiguities.

Findings

Consistency linked to geometric discrete moduli

Different classes distinguished by fixed points surviving projection

Analysis across six-dimensional and four-dimensional models

Abstract

We discuss the open descendants of diagonal irrational $Z_3$ orbifolds, starting from the $c=2$ case and analyzing six-dimensional and four-dimensional models. As recently argued, their consistency is linked to the presence of geometric discrete moduli. The different classes of open descendants, related to different resolutions of the fixed-point ambiguities, are distinguished by the number of geometric fixed points surviving the unoriented projection.