Background geometry of DLCQ M theory on a p-torus and holography - art. no. 026003

Via supergravity, we argue that the infinite Lorentz boost along the M theo ry 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 the ory. This argument lets us identify the background geometries of DLCQ M the ory on p-torus; for p=0 (p=1), the background geometry turns out to be elev en-dimensional (ten-dimensional) flat Minkowski space-time, respectively. H olography fur these cases results from the localization of the light-cone m omentum. For p = 2,3,4, the background geometries are the tensor products o f an anti-de Sitter space and a sphere, which, according to the AdS-CFT cor respondence, have the holographic conformal field theory description. These holographic descriptions are compatible to the microscopic theory of Seibe rg based on hi theory on a spatial circle with the rescaled Planck length, giving an understanding of the validity of the AdS-CFT correspondence. [S05 56-2821(98)05824-X].