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arXiv 0806.0809hep-th
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体积模暴胀与引力子质量问题

Volume Modulus Inflation and the Gravitino Mass Problem

Joseph P. Conlon, Renata Kallosh, Andrei Linde, Fernando Quevedo

摘要:

在基于KKLT机制的大类模型中,在暴胀的最后阶段,哈勃常数应该小于引力子质量H <~ m_{3/2}。我们指出,在具有大体积紧化的模型中,相应的约束通常甚至更强,H <~ m_{3/2} ^{3/2}(普朗克单位)。为了解决这个问题,我们提出了一类具有大体积紧化的模型,其中膨胀可能在远离当前真空状态的地方以指数方式发生。在这些模型中,暴胀期间的哈勃常数可以比引力子质量大许多个数量级。我们介绍一个玩具模型描述这种情况下,并讨论其优点和缺点。

英文摘要:

The Hubble constant during the last stages of inflation in a broad class of models based on the KKLT mechanism should be smaller than the gravitino mass, H <~ m_{3/2}. We point out that in the models with large volume of compactification the corresponding constraint typically is even stronger, H <~ m_{3/2}^{3/2}, in Planck units. In order to address this problem, we propose a class of models with large volume of compactification where inflation may occur exponentially far away from the present vacuum state. In these models, the Hubble constant during inflation can be many orders of magnitude greater than the gravitino mass. We introduce a toy model describing this scenario, and discuss its strengths and weaknesses.

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