arXiv 1609.027332016-09-09hep-th

Holography有多普遍？

How General Is Holography?

Max Riegler

备注：: PhD Thesis; Defended on Sept. 7th, 2016; This thesis won the Victor-Franz Hess Prize awarded by the Austrian Physical Society

摘要：

在这篇论文中，我探讨了一般性的全息原理在2+1（体）维的可能性，有全息对应的非AdS（高自旋）时空。第一部分主要讨论具有$\mathfrak{sl}(4,\mathbb{R})$和$\mathcal{W}^{(2)}_N$对称性的罗巴切夫斯基时空，渐近对称代数及其酉表示。这导致一族酉$\mathcal{W}^{(2)}_N$模型，其可以具有小的和大的中心荷。第二部分的重点是渐近平坦时空中可能的全息对应。这一部分涵盖了从已知的AdS $_3$结果到平坦空间的限制，以及禁止同时具有平坦空间、高自旋和么正性的NO-GO结果。此外，这一部分还展示了如何一致地将（更高自旋的）化学势添加到平坦空间。作为平坦空间中全息对应的非平凡检查，我提供了一种方法来确定纠缠熵（以及平坦空间宇宙学的热熵）全息渐近平坦时空使用威尔逊线。

英文摘要：

In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on Lobachevsky spacetimes with $\mathfrak{sl}(4,\mathbb{R})$ as well as $\mathcal{W}^{(2)}_N$ symmetries, the asymptotic symmetry algebras and their unitary representations. This results in a family of unitary $\mathcal{W}^{(2)}_N$ models that can have both small and large central charge. The focus of the second part is a possible holographic correspondence in asymptotically flat spacetimes. This part covers limits from known AdS$_3$ results to flat space as well as a NO-GO result that forbids having flat space, higher-spins and unitarity at the same time. In addition this part shows how to consistently add (higher-spin) chemical potentials to flat space. As a non-trivial check of a holographic correspondence in flat space I provide a way to determine entanglement entropy (as well as thermal entropy of flat space cosmologies) holographically in asymptotically flat spacetimes using Wilson lines.

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。

摘要：

英文摘要：

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