arXiv 1809.054822018-09-14hep-th

全息照相的应用

Applications of Holography

P N Bala Subramanian

备注：: Ph.D thesis, defended on 17 July 2018. Based on arXiv:1602.07211, arXiv:1609.01208, arXiv:1612.06330 and arXiv:1803.04905. 128 pages

摘要：

本文共分四个部分。在论文的第一部分，我们研究了具有负宇宙学常数的Einstein-Maxwell-Scalar系统的相结构。我们绘制了完整的相图，并讨论了它对标量电荷值的依赖性。在第二部分中，我们做了一个系统的研究相耦合到一个电磁场和带电标量在平坦的空间中，与盒边界条件，我们表明，该系统承认玻色子星以及作为解决方案的多毛黑洞，提供了另一种方法来逃避平坦的空间无毛定理。在第三部分中，我们对最简单的非平凡Gurau-Witten张量模型进行了显式对角化，并研究了它的谱和晚时性质。我们发现类似的（一个单一的样本）SYK，其中一些功能最近归因于随机矩阵行为和量子混沌。特别地，在运行时间平均之后，频谱形状因子表现出与SYK惊人的定性相似性。在第四部分中，我们构造了IIB超引力在$ T^{1,1} $上的五维截断$SU(2) \times SU(2) \times \mathbb{Z}_2\times \mathbb{Z}_{2R}$的一般渐近Klebanov-Strassler解，使超对称性破缺。我们观察到，即使在这个广义的设置，只有两个超对称破缺模式，并通过全息计算沃德恒等式，我们确认，只有其中一个对应于自发破缺：这是由扭曲的喉咙的尖端涂抹反D3膜触发的模式。我们的结果加强了{\it if} KKLT结构是亚稳定的证据，它确实是弦论的一个自发超对称破缺的（因此是真正的）真空。

英文摘要：

This thesis consists of four parts. In the first part of the thesis, we investigate the phase structure of Einstein-Maxwell-Scalar system with a negative cosmological constant. We chart out the full phase diagram, and discuss it's dependence on the value of the scalar charge. In the second part, we do a systematic study of the phases of gravity coupled to an electromagnetic field and charged scalar in flat space, with box boundary conditions, and we show that the system admits both boson stars as well as hairy black holes as solutions, providing yet another way to evade flat space no-hair theorems. In part three, we explicitly diagonalize the simplest non-trivial Gurau-Witten tensor model and study its spectral and late-time properties. We find parallels to (a single sample of) SYK where some of these features were recently attributed to random matrix behavior and quantum chaos. In particular, after a running time average, the spectral form factor exhibits striking qualitative similarities to SYK. In part four, we construct general asymptotically Klebanov-Strassler solutions of a five dimensional $SU(2) \times SU(2) \times \mathbb{Z}_2\times \mathbb{Z}_{2R}$ truncation of IIB supergravity on $ T^{1,1} $, that break supersymmetry. We observe that there are only two SUSY-breaking modes even in this generalized set up, and by holographically computing Ward identities, we confirm that only one of them corresponds to spontaneous breaking: this is the mode triggered by smeared anti-D3 branes at the tip of the warped throat. Our results strengthen the evidence that {\it if} the KKLT construction is meta-stable, it is indeed a spontaneously SUSY-broken (and therefore bona fide) vacuum of string theory.

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英文摘要：

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