Tenfold Way for Holography : AdS/CFT and Beyond

Autor:	Dobrev, V. K.
Rok vydání:	2020
Předmět:	High Energy Physics - Theory Mathematical Physics Mathematics - Representation Theory
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217751X21500494
Popis:	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. Comment: 24 pages, 5 tables, Latex2e; v2,3: corrected typos, v4 revised as accepted in IJMPA
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.12582 Zobrazit plný text záznamu View this record from Arxiv