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.
Highlights
Reflections, simple examples of T-folds are realized as the orbifolds by the chiral reflection combined with the shift in the base circle
In the case where the chiral reflections act as Z4 transformations in a fermionic sector, the resultant world-sheet torus partition function and the one-loop cosmological constant vanish: if the partition sum for the left-moving fermions is non-vanishing in a winding sector, that for the right-moving fermions vanishes, and vice versa
We have studied type II string vacua which are defined by the asymmetric orbifolding based on the chiral reflections/T-duality twists in T 4 combined with the shift in the base circle, in such a way that the modular invariance is kept manifest
Summary
We would like to study the type II string vacua constructed from asymmetric orbifolds of the 10-dimensional flat background given by. Where M 4 (X0,1,2,3-directions) is the 4-dimensional Minkowski space-time. Intending the twisted compactification of the ‘base space’ Rbase (X5-direction), we consider the orbifolding defined by the twist operator T2πR ⊗ σ : T2πR is the translation along the base direction by 2πR, and σ denotes an automorphism acting on the ‘fiber sector’ Tfi4ber (X6,7,8,9), which is specified in detail later. The S1-factor (X4-direction) in (2.1) is not important in our arguments. We begin our analysis by specifying the relevant bosonic and fermionic sectors and their chiral blocks that compose the modular invariants for our asymmetric orbifolds
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