Type IIB orientifolds with discrete torsion

TL;DR

This paper explores four-dimensional Type IIB orientifolds with discrete torsion, analyzing how it affects consistency conditions and tadpole cancellation in specific ${f Z_N} imes {f Z_M}$ models.

Contribution

It introduces the role of discrete torsion in Type IIB orientifolds and discusses its impact on the consistency conditions and tadpole cancellation.

Findings

Discrete torsion modifies tadpole cancellation conditions.

Differences identified between models with and without discrete torsion.

Analysis specific to certain ${f Z_N} imes {f Z_M}$ configurations.

Abstract

We consider compact four-dimensional ${\bf Z_N}\times {\bf Z_M}$ type IIB orientifolds, for certain values of $N$ and $M$. We allow the additional feature of discrete torsion and discuss the modification of the consistency conditions arising from tadpole cancellation. We point out the differences between the cases with and without discrete torsion.