KKLT中的扩张稳定性
Dilaton stabilization in KKLT revisited
摘要：
我们研究了IIB型通量紧致化中的强子稳定化条件，该条件与KKLT方案一致。由于Gukov-Vafa-Witten超势线性地依赖于介子，所以介子质量平方由引力子质量平方和由复结构模稳定化确定的附加项之和给出。如果重子质量没有从引力子质量增加太多，在非微扰效应的存在下，质量与Kähler模的混合在超对称场值处产生鞍点，因此势变得不稳定。当忽略复结构模而不考虑锥模时，在可控参数空间上出现鞍点问题。我们还指出，介子稳定条件与NS 3型通量$|H_{(1,2)}| > | H_{(0,3)}|$的稳定条件是等价的.
英文摘要：
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, $|H_{(1,2)}| > | H_{(0,3)}|$.
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