论文标题

全息图的十倍:广告/CFT及其他

Tenfold Way for Holography : AdS/CFT and Beyond

论文作者

Dobrev, V. K.

论文摘要

本文的主要目的是奠定将广告/CFT(全息图)思想推广到共形环境之外的基础。主要工具是通过群体理论找到对批量和边界的合适实现。我们使用所有十个经典的真实半圣经谎言组$ g $的家庭和谎言代数$ \ cal g $。为此,使用了几个组和代数分解:全球iwasawa分解以及局部的bruhat和sekiguchi类似的分解。相同的分析适用于特殊的真实的半神经谎言代数。

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.

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