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arXiv 0810.5489hep-thgr-qc
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黑p-膜的扰动

Perturbations of Black p-Branes

Elcio Abdalla, Owen Pavel Fernandez Piedra, Jeferson de Oliveira, C. Molina

摘要:

我们考虑低能量弦作用的黑$p$ -膜解,计算标量扰动。使用标准的方法,我们推导出波动方程服从的扰动和处理他们的解析和数值。我们已经发现,张量扰动通过规范不变的形式主义,导致相同的结果作为标量扰动。渐近地,这些解通常约化为一个$AdS_{(p+2)}\times S^{(8-p)}$空间,在马尔达塞纳猜想的框架中,这个空间可以被看作是定义在$(p+1)$维平坦时空中的共形场论的引力对偶。这些结果为更好地理解AdS/CFT对应提供了可能性,因为最初是根据膜结构和规范理论之间的关系制定的。

英文摘要:

We consider black $p$-brane solutions of the low energy string action, computing scalar perturbations. Using standard methods, we derive the wave equations obeyed by the perturbations and treat them analytically and numerically. We have found that tensorial perturbations obtained via a gauge-invariant formalism leads to the same results as scalar perturbations. No instability has been found. Asymptotically, these solutions typically reduce to a $AdS_{(p+2)}\times S^{(8-p)}$ space, which, in the framework of Maldacena's conjecture, can be regarded as a gravitational dual to a conformal field theory defined in a $(p+1)$-dimensional flat space-time. The results presented open the possibility of a better understanding the AdS/CFT correspondence, as originally formulated in terms of the relation among brane structures and gauge theories.

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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