Non-supersymmetric Asymmetric Orbifolds with Vanishing Cosmological Constant

TL;DR

This paper constructs non-supersymmetric string vacua via asymmetric orbifolds with T-duality twists, achieving models with zero cosmological constant at one loop, using a simplified orbifold group.

Contribution

It presents a novel construction of non-supersymmetric string vacua with vanishing cosmological constant using asymmetric orbifolds generated by a single element.

Findings

Realization of non-supersymmetric vacua with zero one-loop cosmological constant

Explicit construction of asymmetric orbifolds with T-duality twists

Simpler models due to single-element orbifold group

Abstract

We study type II string vacua defined by torus compactifications accompanied by T-duality twists. We realize the string vacua, specifically, by means of the asymmetric orbifolding associated to the chiral reflections combined with a shift, which are interpreted as describing the compactification on `T-folds'. We discuss possible consistent actions of the chiral reflection on the Ramond-sector of the world-sheet fermions, and explicitly construct non-supersymmetric as well as supersymmetric vacua. Above all, we demonstrate a simple realization of non-supersymmetric vacua with vanishing cosmological constant at one loop. Our orbifold group is generated only by a single element, which results in simpler models than those with such property known previously.