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Anti de Sitter Holography via Sekiguchi Decomposition

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Lie Theory and Its Applications in Physics (LT 2015)

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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. Comparing what is done for \(q=3\) the new element in the present paper is the presentation of the bulk space as the homogeneous space \(G/H = SO(q,2)/SO(q,1)\), which homogeneous space was studied by Sekiguchi.

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Acknowledgements

The first author has received partial support from COST actions MP-1210 and MP-1405, and from Bulgarian NSF Grant DFNI T02/6.

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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, BG-1784, Sofia, Bulgaria

    Vladimir K. Dobrev

  2. Department of Physics, Pennsylvania State University, The Abington College, Abington, PA, 19001, USA

    Patrick Moylan

Authors
  1. Vladimir K. Dobrev
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  2. Patrick Moylan
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Correspondence to Vladimir K. Dobrev .

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Editors and Affiliations

  1. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Dobrev, V.K., Moylan, P. (2016). Anti de Sitter Holography via Sekiguchi Decomposition. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_29

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