Details

Autor(en) / Beteiligte

• Dobrev, Vladimir K.
• Moylan, Patrick

Titel

Anti de Sitter Holography via Sekiguchi Decomposition

Ist Teil von

• Lie Theory and Its Applications in Physics, p.413-421

Ort / Verlag

Singapore: Springer Singapore

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In the present paper we start consideration of anti de Sitter holography in the general case of the (q+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(q+1)$$\end{document}-dimensional anti de Sitter bulk with boundary q-dimensional Minkowski space-time. We present the group-theoretic foundations that are necessary in our approach. Comparing what is done for q=3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q=3$$\end{document} the new element in the present paper is the presentation of the bulk space as the homogeneous space G/H=SO(q,2)/SO(q,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G/H = SO(q,2)/SO(q,1)$$\end{document}, which homogeneous space was studied by Sekiguchi.