We study the condition for the dilaton stabilization in Type IIB flux compactifications consistent with the KKLT scenario. Since the Gukov-Vafa-Witten superpotential depends linearly on the dilaton, the dilaton mass squared is given by a sum of the gravitino mass squared and additional terms determined by the complex structure moduli stabilization. If the dilaton mass is not much enhanced from the gravitino mass, the mass mixing with the Kähler modulus in the presence of the non-perturbative effect generates the saddle point at the supersymmetric field values, hence the potential becomes unstable. When the complex structure moduli other than the conifold modulus are neglected, the saddle point problem arises over the controllable parameter space. We also point out that the dilaton stabilization condition is equivalent to the condition on the NS 3-form fluxes, $|H_{(1,2)}|>|H_{(0,3)}|$.

我们研究了与KKLT情景一致的IIB型通量压缩中的膨胀子稳定条件。由于Gukov-Vafa-Witten超电势线性依赖于Dilaton，因此Dilaton质量平方是由Gravitino质量平方与由复杂结构模量稳定化确定的其他项之和给出的。如果从引力子质量中得到的膨胀子质量没有得到很大的提高，则在存在非微扰效应的情况下，具有Kähler模量的质量混合会在超对称场值处产生鞍点，因此电势变得不稳定。当忽略了非共轭模量的复杂结构模量时，在可控参数空间上出现了鞍点问题。$|H_{（\mathrm{1个}，\mathrm{2个}）}|>|H_{（0，3）}|$。