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arXiv 0704.0647hep-thastro-phgr-qchep-ph
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用CMB测试弦论

Testing String Theory with CMB

Renata Kallosh, Andrei Linde

摘要:

未来在宇宙微波背景观测中从暴胀中检测到/未检测到张量模,这是检验弦论某些特征的一种独特方法。目前张量与标量扰动之比r=T/S的限制是r < 0.3,未来的检测可能发生在r > 10^{-2}-10 ^{-3}的情况下。目前,所有已知的弦论暴胀模型预测的张量模都远低于可检测的水平。因此,张量模的可能实验发现可能会对弦宇宙学提出挑战。弦暴胀中r的最强约束来自于这样的观察:在大多数基于KKLT结构的模型中,暴胀期间的哈勃常数H值必须小于引力子质量。对于通常范围内的引力子质量,m_{3/2} < O(1)TeV,这导致一个非常强的束缚r < 10^{-24}。如果发现r > 10^{-3}的张量扰动,就意味着这类模型中的引力子是超重的,m_{3/2} > 10^{13} GeV。这将对基于弦论的粒子唯象学产生重要的影响。

英文摘要:

Future detection/non-detection of tensor modes from inflation in CMB observations presents a unique way to test certain features of string theory. Current limit on the ratio of tensor to scalar perturbations, r=T/S, is r < 0.3, future detection may take place for r > 10^{-2}-10^{-3}. At present all known string theory inflation models predict tensor modes well below the level of detection. Therefore a possible experimental discovery of tensor modes may present a challenge to string cosmology. The strongest bound on r in string inflation follows from the observation that in most of the models based on the KKLT construction, the value of the Hubble constant H during inflation must be smaller than the gravitino mass. For the gravitino mass in the usual range, m_{3/2} < O(1) TeV, this leads to an extremely strong bound r < 10^{-24}. A discovery of tensor perturbations with r > 10^{-3} would imply that the gravitinos in this class of models are superheavy, m_{3/2} > 10^{13} GeV. This would have important implications for particle phenomenology based on string theory.

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