Background geometry of DLCQ M theory on a p-torus and holography

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Via supergravity, we argue that the infinite Lorentz boost along the M theory circle in the manner of Sciberg toward the DLCQ M theory compactified on a p-torus (p<5) implies the holographic description of the microscopic theory. This argument lets us identify the background geometries of DLCQ M theory on p-torus; for p=0 (p=1), the background geometry turns out to be eleven-dimensional (ten-dimensional) flat Minkowski space-time, respectively. Holography fur these cases results from the localization of the light-cone momentum. For p = 2,3,4, the background geometries are the tensor products of an anti-de Sitter space and a sphere, which, according to the AdS-CFT correspondence, have the holographic conformal field theory description. These holographic descriptions are compatible to the microscopic theory of Seiberg based on hi theory on a spatial circle with the rescaled Planck length, giving an understanding of the validity of the AdS-CFT correspondence. [S0556-2821(98)05824-X].
Publisher
AMERICAN PHYSICAL SOC
Issue Date
1999
Article Type
Article
Keywords

MATRIX DESCRIPTION; DIMENSIONS; DUALITY; BRANES; MODEL; T-5

Citation

PHYSICAL REVIEW D, v.59, no.2

ISSN
0556-2821
URI
http://hdl.handle.net/10203/70276
Appears in Collection
PH-Journal Papers(저널논문)
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