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arXiv 1608.05036hep-th
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非对称D3膜的退耦极限和喉道几何

Decoupling limit and throat geometry of non-susy D3 brane

Kuntal Nayek, Shibaji Roy

摘要:

在以前的工作中,我们已经表明,像BPS Dp膜,体引力从膜解耦,即使是非susy的II型弦论Dp膜,表明可能的扩展AdS/CFT对应的非超对称的情况下。在这项工作中,非susy Dp膜上的引力解耦已被证明为一般情况下的数值以及解析的一些特殊情况。本文讨论了非对称D_3膜在电荷很大时的退耦极限和喉道几何。我们表明,在去耦极限的喉几何的非susy D3膜,在适当的坐标变化,减少到康斯塔布-迈尔斯解决方案,从而确认该解决方案确实是全息对偶的(非引力)规范理论讨论。我们还表明,当一个参数的解决方案采取一个特定的值,它减少,在另一个坐标变化,五维解决方案得到的Csaki和里斯,再次确认其规范理论的解释。

英文摘要:

In a previous work, we have shown that, like BPS Dp branes, bulk gravity gets decoupled from the brane even for the non-susy Dp branes of type II string theories indicating a possible extension of AdS/CFT correspondence for the non-supersymmetric case. In that work, the decoupling of gravity on the non-susy Dp branes has been shown numerically for the general case as well as analytically for some special case. Here we discuss the decoupling limit and the throat geometry of the non-susy D3 brane when the charge associated with the brane is very large. We show that in the decoupling limit the throat geometry of the non-susy D3 brane, under appropriate coordinate change, reduces to the Constable-Myers solution and thus confirming that this solution is indeed the holographic dual of a (non-gravitational) gauge theory discussed there. We also show that when one of the parameters of the solution takes a specific value, it reduces, under another coordinate change, to the five-dimensional solution obtained by Csaki and Reece, again confirming its gauge theory interpretation.

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