Dienes Keith R, Mafi Arash
Department of Physics, University of Arizona, Tucson, Arizona 85721.
Phys Rev Lett. 2002 Oct 21;89(17):171602. doi: 10.1103/PhysRevLett.89.171602. Epub 2002 Oct 7.
Closed strings in extra compactified dimensions give rise to both Kaluza-Klein states and winding states. Since the masses of these states play a reciprocal role, it is often believed that either the lightest Kaluza-Klein states or the lightest winding states must be at or below the string scale. In this Letter, we demonstrate the contrary, showing that there exist toroidal compactifications for which all Kaluza-Klein states as well as all winding states are heavier than the string scale. Within the context of low-scale string theories, this implies that it may be possible to cross the string scale without detecting any states associated with spacetime compactification.
在额外紧致化维度中的闭弦会产生卡鲁扎-克莱因态和缠绕态。由于这些态的质量起着相互作用的角色，人们通常认为最轻的卡鲁扎-克莱因态或最轻的缠绕态必定处于或低于弦尺度。在本信函中，我们证明了相反的情况，表明存在环面紧致化，对于这些紧致化，所有卡鲁扎-克莱因态以及所有缠绕态都比弦尺度重。在低尺度弦理论的背景下，这意味着有可能跨越弦尺度而不探测到任何与时空紧致化相关的态。
