(Unoriented) T-folds with few T's

TL;DR

This paper constructs specific string compactifications with minimal moduli by combining T-dualities and shifts, analyzing their properties and unoriented projections, and providing explicit Type I examples with few chiral multiplets.

Contribution

It introduces new N=1,2 supersymmetric four-dimensional string models with few moduli using asymmetric orbifolds and analyzes their unoriented projections and open string sectors.

Findings

Constructed N=2 models with small Hodge numbers

Provided unoriented projections with open strings

Presented N=1 models with few chiral multiplets

Abstract

We use the combined action of Z_2-chiral reflections (T-dualities) and shifts to build N=1,2 supersymmetric four-dimensional string compactifications with few moduli. In particular, we consider Z_2^4 asymmetric orbifolds of Type IIB on the maximal torus of SO(12) that mimic N=2 Calabi-Yau compactifications with small "effective" Hodge numbers starting from (h_{11}, h_{21})=(1,1). We analyze possible unoriented projections, providing Type I examples with or without open strings. N=1 oriented asymmetric shift-orbifolds of Type IIB with few chiral multiplets are also presented.