Background geometry of DLCQ M theory on a [formula presented]-torus and holography

Seungjoon Hyun, Youngjai Kiem

Research output: Contribution to journalArticlepeer-review

8 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 (Formula presented)-torus (Formula presented) implies the holographic description of the microscopic theory. This argument lets us identify the background geometries of DLCQ M theory on a (Formula presented)-torus; for (Formula presented) 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 (Formula presented) 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 (Formula presented) theory on a spatial circle with the rescaled Planck length, giving an understanding of the validity of the AdS-CFT correspondence.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number2
DOIs
Publication statusPublished - 1999

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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