Anti de Sitter Holography via Sekiguchi decomposition

Vladimir Dobrev, Patrick Moylan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the present paper we start consideration of anti de Sitter holography in the general case of the (q + 1)-dimensional anti de Sitter bulk with boundary q-dimensional Minkowski space-time. We present the group-theoretic foundations that are necessary in our approach. Comparingwhat is done for q = 3 the newelement in the present paper is the presentation of the bulk space as the homogeneous space G/H = SO(q, 2)/SO(q, 1), which homogeneous space was studied by Sekiguchi.

Original languageEnglish (US)
Title of host publicationLie Theory and Its Applications in Physics
EditorsVladimir Dobrev
PublisherSpringer New York LLC
Pages413-421
Number of pages9
ISBN (Print)9789811026355
DOIs
StatePublished - Jan 1 2016
EventProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015 - Varna, Bulgaria
Duration: Jun 15 2015Jun 21 2015

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume191
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015
CountryBulgaria
CityVarna
Period6/15/156/21/15

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Dobrev, V., & Moylan, P. (2016). Anti de Sitter Holography via Sekiguchi decomposition. In V. Dobrev (Ed.), Lie Theory and Its Applications in Physics (pp. 413-421). (Springer Proceedings in Mathematics and Statistics; Vol. 191). Springer New York LLC. https://doi.org/10.1007/978-981-10-2636-2_29