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arXiv 0904.4532hep-th
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某些零宇宙学奇点附近的弦谱

String spectra near some null cosmological singularities

Kallingalthodi Madhu, K. Narayan

摘要:

我们构造了具有类卡斯纳奇点的宇宙时空作为没有其他背景场的纯引力解,通过坐标变换,这些时空可以被重塑为各向异性的平面波时空。我们分析弦量子化,以找到在这些背景下的弦模式的频谱。经典弦模可以精确地在这些含时背景下求解,这使得近奇点弦谱,(含时)振子质量和波函数的详细研究成为可能。我们发现,对于低阶弦模(有限振荡数),经典的近奇异弦模函数对于各种奇异族都是不发散的。此外,对于奇点附近的任何无穷小正则化,我们发现一个塔的超高振荡数的弦模式,基本上自由地传播的背景。由此产生的图像表明,弦的相互作用在奇点附近是不可忽略的。

英文摘要:

We construct cosmological spacetimes with null Kasner-like singularities as purely gravitational solutions with no other background fields turned on. These can be recast as anisotropic plane-wave spacetimes by coordinate transformations. We analyse string quantization to find the spectrum of string modes in these backgrounds. The classical string modes can be solved for exactly in these time-dependent backgrounds, which enables a detailed study of the near singularity string spectrum, (time-dependent) oscillator masses and wavefunctions. We find that for low lying string modes(finite oscillation number), the classical near-singularity string mode functions are non-divergent for various families of singularities. Furthermore, for any infinitesimal regularization of the vicinity of the singularity, we find a tower of string modes of ultra-high oscillation number which propagate essentially freely in the background. The resulting picture suggests that string interactions are non-negligible near the singularity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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