用插值函数研究超临界线性玻色子帽化态
Supercritical linear dilaton capping state using Interpolating functions
摘要：
我们考虑依赖于时间的背景与类时线性介子，导致弱耦合理论在渐近未来称为超临界线性膨胀（SCLD）阶段。即使在投射出快子之后，由于相关变形的频谱，在配分函数中也存在朴素的发散。虽然配分函数看起来是发散的，但由于逆反应的消失，背景在遥远的未来实际上是很好定义的，只要我们从一个被称为“封顶”状态的适当的初始状态开始。我们使用插值函数的技术，通过将SCLD相位嵌入弦论的强耦合完备中来构造这种状态。尽管我们无法构造一个具体的例子，但我们确实提供了在S-二元性可以提供完成的情况下的一般策略。
英文摘要：
We consider time dependent backgrounds with a time-like linear dilaton which leads to a weakly coupled theory at asymptotic future known as the Supercritical Linear Dilaton (SCLD) phase. Even after projecting out the tachyon there are naive divergences in the partition function due to the spectrum of relevant deformations. Although the partition function seems divergent, the background is actually well defined in the far future due to vanishing backreactions, provided we start from an appropriate initial state called the "capping" state. We use the technique of interpolating functions to construct this state by embedding the SCLD phase in a strong coupling completion of string theory. Although we are unable construct a specific example, we do provide the general strategy in cases where S-duality may provide the completion.
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