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

Seungjoon Hyun, Youngjai Kiem

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Via supergravity, we argue that the infinite Lorentz boost along the M theory circle in the manner of Seiberg 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 a p-torus; for p=0 (p=1), the background geometry turns out to be eleven-dimensional (ten-dimensional) flat Minkowski space-time, respectively. Holography for 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 M theory on a spatial circle with the rescaled Planck length, giving an understanding of the validity of the AdS-CFT correspondence.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number2
Publication statusPublished - 1999 Jan 15

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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