Tenfold way for holography: AdS/CFT and beyond

V. Dobrev
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Abstract

The main purpose of the present paper is to lay the foundations of generalizing the AdS/CFT (holography) idea beyond the conformal setting. The main tool is to find suitable realizations of the bulk and boundary via group theory. We use all ten families of classical real semisimple Lie groups $G$ and Lie algebras $\cal G$. For this are used several group and algebra decompositions: the global Iwasawa decomposition and the local Bruhat and Sekiguchi-like decomposititions. The same analysis is applied to the exceptional real semisimple Lie algebras.
全息摄影的十倍方式:AdS/CFT及其他
本文的主要目的是为在共形环境之外推广AdS/CFT(全息)思想奠定基础。主要的工具是通过群论找到合适的体和边界实现。我们使用了经典实数半单李群G$和李代数G$的所有十族。为此,使用了几种群分解和代数分解:全局Iwasawa分解和局部Bruhat和Sekiguchi-like分解。对例外实数半单李代数进行了同样的分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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