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arXiv 1902.01415hep-th
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KKLT AdS真空与提升的10维视角

A 10d view on the KKLT AdS vacuum and uplifting

F. F. Gautason, V. Van Hemelryck, T. Van Riet, V. Venken

AI总结:

本文分析了KKLT背景下的十维爱因斯坦方程,验证了四次方gaugino项可消除在壳作用量奇点,并对比了两种引入gaugino凝聚的方法,发现先插入费米子双线性vev的方法虽具局域性但无法导出KKLT有效场论。

摘要:

我们分析了KKLT背景下的十维爱因斯坦方程。我们验证了正如Hamada等人所建议的那样,需要四次方gaugino项来消除在壳作用量中的奇点。我们对比了文献中在十维运动方程中运用gaugino凝聚效应时所采用的两种方法。在此,我们遵循这一提议:将显式非零费米子双线性vev插入到7-branes的局域能动量张量中,该张量是通过将10d在壳作用量对10d度规变分得到的。我们的程序在半经典物理中很常见,并且在10d中是明显局域的。然而,它并不能导出KKLT有效场论。另一种程序是在用gaugino vev替换费米子双线性之后再推导能动量张量,这在10d中可能缺乏充分的动机,但重现了KKLT有效场论的结果。

英文摘要:

We analyse the ten-dimensional Einstein equations in the KKLT setting. We verify that the quartic gaugino term is needed to remove singularities in the on-shell action as suggested by Hamada et. al. We contrast two approaches that have been taken in the literature when employing the effect of gaugino condensation in the ten-dimensional equations of motion. Here we follow the proposal to insert explicit non-zero fermion bilinar vev into the localised energy-momentum tensor of the 7-branes obtained from varying the 10d on-shell action with respect to the 10d metric. Our procedure is common in semi-classical physics and is manifestly local in 10d. However, it does not lead to the KKLT effective field theory. The alternative procedure of deriving the energy momentum tensor after replacing fermion bilinears by the gaugino vev, might be less well motivated in 10d, but reproduces the results of the KKLT effective field theory.

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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