Conlon Joseph P, Cremades Daniel
DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Phys Rev Lett. 2007 Jul 27;99(4):041803. doi: 10.1103/PhysRevLett.99.041803. Epub 2007 Jul 26.
We present an argument in which the scale approximately 0.1 eV associated with neutrino masses naturally appears in a class of (very) large volume compactifications, being tied to a supersymmetry scale of 10(3) GeV and a string scale of 10(11) GeV. The masses are of the Majorana type, and there is no right-handed neutrino within the low-energy field theory. The suppression scale 10(14) GeV is independent of the masses of the heavy states that are integrated out. These kinds of constructions appear naturally in type IIB flux compactifications. However, the arguments that lead to this result rely only on a few geometrical features of the compactification manifold and, hence, can be used independently of string theory.
我们提出了一个观点，其中与中微子质量相关的约0.1电子伏特的尺度自然地出现在一类（非常）大体积紧致化中，它与10³吉电子伏特的超对称尺度和10¹¹吉电子伏特的弦尺度相关联。这些质量是马约拉纳型的，并且在低能场论中不存在右手征中微子。10¹⁴吉电子伏特的压低尺度与被积分掉的重态质量无关。这类构造自然地出现在IIB型通量紧致化中。然而，导致这一结果的论证仅依赖于紧致化流形的一些几何特征，因此可以独立于弦理论使用。
