Discrete torsion in non-geometric orbifolds and their open-string descendants

TL;DR

This paper explores discrete torsion in non-geometric orbifolds of type IIB superstring theory, analyzing their open-string descendants and proposing a simplified construction method that can lead to supersymmetry breaking models.

Contribution

It introduces a new ansatz for constructing open-string descendants of non-geometric orbifolds, simplifying the analysis of their amplitudes and enabling supersymmetry breaking scenarios.

Findings

Identified phases in modular transformations allowing discrete torsion

Proposed a simplified ansatz for open-string amplitude construction

Constructed models with supersymmetry breaking in open-string sectors

Abstract

We discuss some Z_N^L x Z_N^R orbifold compactifications of the type IIB superstring to D= 4,6 dimensions and their type I descendants. Although the Z_N^L x Z_N^R generators act asymmetrically on the chiral string modes, they result into left-right symmetric models that admit sensible unorientable reductions. We carefully work out the phases that appear in the modular transformations of the chiral amplitudes and identify the possibility of introducing discrete torsion. We propose a simplifying ansatz for the construction of the open-string descendants in which the transverse-channel Klein-bottle, annulus and Moebius-strip amplitudes are numerically identical in the proper parametrization of the world-sheet. A simple variant of the ansatz for the Z_2^L x Z_2^R orbifold gives rise to models with supersymmetry breaking in the open-string sector.