A note on the magnitude of the flux superpotential
A note on the magnitude of the flux superpotential
复制标题
关于通量超势大小的注解
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
F. Quevedo
中科院分区：
文献类型：
--
作者：
M. Cicoli;J. Conlon;Anshuman Maharana;F. Quevedo
摘要 通量超势 Wflux 的大小对于确定模量稳定后 IIB 弦紧致化的规模起着至关重要的作用。有人认为，Wflux < 1 的值是首选，甚至出于物理和一致性原因也是必需的。本说明重新审视了这些论点。我们建立了重Kaluza-Klein模式与轻态的耦合随内部体积的变化为g ~ MKK/MP ~ $ mathcal{V} $−2/3 ≪ 1，并认为超空间导数展开的一致性需要gF/M2 ~ m3/2/MKK ≪ 1，其中F是光场的辅助场，M是紫外线截止。这仅对通量超势给出了温和的约束，Wflux ≪ $ mathcal{V} $1/3，对于 Wflux 的 $ mathcal{O} $(1) 值可以轻松满足。这种机制在统计上也受到青睐，并使真空能量的 Bousso-Polchinski 机制在层次上更加有效。
A bstractThe magnitude of the flux superpotential Wflux plays a crucial role in determining the scales of IIB string compactifications after moduli stabilisation. It has been argued that values of Wflux ≪ 1 are preferred, and even required for physical and consistency reasons. This note revisits these arguments. We establish that the couplings of heavy Kaluza-Klein modes to light states scale with the internal volume as g ~ MKK/MP ~ $ mathcal{V} $−2/3 ≪ 1 and argue that consistency of the superspace derivative expansion requires gF/M2 ~ m3/2/MKK ≪ 1, where F is the auxiliary field of the light fields and M the ultraviolet cutoff. This gives only a mild constraint on the flux superpotential, Wflux ≪ $ mathcal{V} $1/3, which can be easily satisfied for $ mathcal{O} $(1) values of Wflux. This regime is also statistically favoured and makes the Bousso-Polchinski mechanism for the vacuum energy hierarchically more efficient.