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

Fingerprint

Holography
Homogeneous Space
Decompose
Space-time
Necessary
Presentation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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
Dobrev, Vladimir ; Moylan, Patrick. / Anti de Sitter Holography via Sekiguchi decomposition. Lie Theory and Its Applications in Physics. editor / Vladimir Dobrev. Springer New York LLC, 2016. pp. 413-421 (Springer Proceedings in Mathematics and Statistics).
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Dobrev, V & Moylan, P 2016, Anti de Sitter Holography via Sekiguchi decomposition. in V Dobrev (ed.), Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics and Statistics, vol. 191, Springer New York LLC, pp. 413-421, Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015, Varna, Bulgaria, 6/15/15. https://doi.org/10.1007/978-981-10-2636-2_29

Anti de Sitter Holography via Sekiguchi decomposition. / Dobrev, Vladimir; Moylan, Patrick.

Lie Theory and Its Applications in Physics. ed. / Vladimir Dobrev. Springer New York LLC, 2016. p. 413-421 (Springer Proceedings in Mathematics and Statistics; Vol. 191).

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

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