The main purpose of this 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 𝒢. For this are used several group and algebra decompositions: the global Iwasawa decomposition and the local Bruhat and Sekiguchi-like decompositions. The same analysis is applied to the exceptional real semisimple Lie algebras.

中文翻译：

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全息的十倍方式：AdS/CFT 及其他

本文的主要目的是为将 AdS/CFT（全息）概念推广到保形设置之外奠定基础。主要工具是通过群论找到合适的体积和边界实现。我们使用所有十个经典实半单李群家族G和李代数𝒢. 为此使用了几种组和代数分解：全局 Iwasawa 分解和局部 Bruhat 和类似 Sekiguchi 的分解。同样的分析也适用于例外的实半单李代数。