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arXiv 0708.4159hep-th
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有限温度下的O' KKLT

O'KKLT at Finite Temperature

Lilia Anguelova, Vincenzo Calo

摘要:

我们研究是否有限的温度修正解压缩KKLT紧致化的内部空间与一个系统,表现出亚稳态动力学超对称性破缺的提升部门。更精确地说,我们计算了与量子修正的O'Raifeartaigh模型耦合的KKLT模型中体积模量有效势的单圈温度修正。我们证明了对于原KKLT模型,即在非微扰超势中只有一个指数,当在零温度下有dS极小值时,有限温度势是失控的。另一方面,对于具有两个指数的跑道型非微扰超势,我们证明了有效势的温度依赖部分可以在有限场vevs处具有局部极小值。然而,相当出乎意料的是,事实证明,这些最小值不影响结构的全部有效的潜力,所以体积模量是稳定在局部最小的零温度潜力的整个范围内的有效性的超重力近似。

英文摘要:

We study whether finite temperature corrections decompactify the internal space in KKLT compactifications with an uplifting sector given by a system that exhibits metastable dynamical supersymmetry breaking. More precisely, we calculate the one-loop temperature corrections to the effective potential of the volume modulus in the KKLT model coupled to the quantum corrected O'Raifeartaigh model. We prove that for the original KKLT model, namely with one exponent in the non-perturbative superpotential, the finite temperature potential is runaway when at zero temperature there is a dS minimum. On the other hand, for a non-perturbative superpotential of the race-track type with two exponents, we demonstrate that the temperature-dependent part of the effective potential can have local minima at finite field vevs. However, rather unexpectedly, it turns out that these minima do not affect the structure of the full effective potential and so the volume modulus is stabilized at the local minimum of the zero temperature potential for the whole range of validity of the supergravity approximation.

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