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- Title
Tenfold way for holography: AdS/CFT and beyond.
- Authors
Dobrev, V. K.
- Abstract
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.
- Subjects
SEMISIMPLE Lie groups; CONFORMAL field theory; LIE algebras; LIE groups; GROUP algebras; HOLOGRAPHY
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2021, Vol 36, Issue 7, pN.PAG
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X21500494