Asymmetric $\mathbb{Z}_4$ orbifolds of type IIB string theory revisited

TL;DR

This paper constructs new asymmetric $ Z_4$ orbifold models of type IIB string theory on $T^5$, demonstrating their consistency with different lattice choices and varying supersymmetry levels in five dimensions.

Contribution

It revisits and refines the construction of asymmetric $ Z_4$ orbifolds, showing they are well-defined with the SO(8) lattice, expanding previous work that used the SU(2)$^4$ lattice.

Findings

Models preserve 8, 16, or 24 supercharges.

Well-defined models depend on lattice choice, favoring SO(8).

Provides a consistent framework for asymmetric orbifolds in string theory.

Abstract

We construct freely acting asymmetric $\mathbb{Z}_4$ orbifolds of type IIB string theory on $T^5$ preserving 24,16 or 8 supercharges in five dimensions. We show that these models are well-defined if the SO(8) lattice is chosen, instead of the SU(2)$^4$ lattice, which was previously considered in the literature.