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arXiv 2006.09470hep-th
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宇宙学奇性与二维介子引力

Cosmological singularities and 2-dimensional dilaton gravity

Ritabrata Bhattacharya, K. Narayan, Partha Paul

摘要:

我们研究大爆炸或紧缩宇宙学奇点在2维标量-引力-标量理论,在一般情况下获得的高维理论的降维。玻色子势编码了定义理论的渐近数据的信息,并包含了各种各样的理论,如平坦空间、$AdS$、从非共形膜产生的共形$AdS$,以及更一般的非相对论性理论。我们发现一种普遍的近奇点行为独立的的介子潜在的,给普遍的指数之间的相互关系定义的时间行为附近的宇宙学奇点。更详细的分析,使用的缩放anomaly可以找到各种类别的宇宙学背景,恢复已知的例子,如$AdS$卡斯纳奇点以及寻找新的。本文从这个角度对对偶场论作了一些评论。

英文摘要:

We study Big-Bang or -Crunch cosmological singularities in 2-dimensional dilaton-gravity-scalar theories, in general obtained by dimensional reduction of higher dimensional theories. The dilaton potential encodes information about the asymptotic data defining the theories, and encompasses various families such as flat space, $AdS$, conformally $AdS$ as arising from nonconformal branes, and more general nonrelativistic theories. We find a kind of universal near singularity behaviour independent of the dilaton potential, giving universal interrelations between the exponents defining the time behaviour near the cosmological singularity. More detailed analysis using a scaling ansatz enables finding various classes of cosmological backgrounds, recovering known examples such as the $AdS$ Kasner singularity as well finding as new ones. We give some comments on the dual field theory from this point of view.

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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