Holography for Coset Spaces

Details Holography for Coset Spaces Holography for Coset Spaces

1999-05-27

arxiv.org/abs/hep-th/9905211v2

JHEP 9911:013,1999

Physics

High Energy Physics

High Energy Physics - Theory

Harvmac, 23 pages. Additions/correction to section 3.2

Scientific paper

10.1088/1126-6708/1999/11/013

M/string theory on noncompact, negatively curved, cosets which generalize $AdS_{D+1}=SO(D,2)/SO(D,1)$ is considered. Holographic descriptions in terms of a conformal field theory on the boundary of the spacetime are proposed. Examples include $SU(2,1)/U(2)$, which is a Euclidean signature (4,0) space with no supersymmetry, and $SO(2,2)/SO(2)$ and $SO(3,2)/SO(3)$, which are Lorentzian signature (4,1) and (6,1) spaces with eight supersymmetries. Qualitatively new features arise due to the degenerate nature of the conformal boundary metric.

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