Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.
Non-supersymmetric Asymmetric Orbifolds with Vanishing Cosmological Constant
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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.
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Asymmetric orbifolds with vanishing one-loop vacuum energy
Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.