### 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 language | English |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 59 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1999 Jan 1 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

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**Background geometry of DLCQ M theory on a [formula presented]-torus and holography.** / Hyun, Seungjoon; Kiem, Youngjai.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Background geometry of DLCQ M theory on a [formula presented]-torus and holography

AU - Hyun, Seungjoon

AU - Kiem, Youngjai

PY - 1999/1/1

Y1 - 1999/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.59.026003

DO - 10.1103/PhysRevD.59.026003

M3 - Article

AN - SCOPUS:85038281364

VL - 59

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

ER -