Evidence for a bound on the lifetime of de Sitter space
Evidence for a bound on the lifetime of de Sitter space
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德西特空间寿命有界的证据
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
M. Lippert
中科院分区：
文献类型：
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作者：
Ben Freivogel;M. Lippert
最近的工作提出了弦理论中德西特真空寿命的一个令人惊讶的新上限。这个界限在参数上比哈勃时间长，但在参数上比重现时间短。我们研究了一类特定的De Sitter解，即KKLT真空，是否满足这个界。尽管可以自由地使超对称破缺尺度指数地变小，这将导致非常稳定的真空，但我们发现寿命总是小于约exp(1022)哈勃倍，这与所提出的界限是一致的。然而，这一结果取决于几个估计和假设；特别是，我们依赖于KKLT紧凑化中使用的Calabi-Yau四重数的欧拉数的猜想上限。
Recent work has suggested a surprising new upper bound on the lifetime of de Sitter vacua in string theory. The bound is parametrically longer than the Hubble time but parametrically shorter than the recurrence time. We investigate whether the bound is satisfied in a particular class of de Sitter solutions, the KKLT vacua. Despite the freedom to make the supersymmetry breaking scale exponentially small, which naively would lead to extremely stable vacua, we find that the lifetime is always less than about exp(1022) Hubble times, in agreement with the proposed bound. This result, however, is contingent on several estimates and assumptions; in particular, we rely on a conjectural upper bound on the Euler number of the Calabi-Yau fourfolds used in KKLT compactifications.