Spacetime and the Holographic Renormalization Group

Vijay Balasubramanian and Per Kraus
Phys. Rev. Lett. 83, 3605 – Published 1 November 1999
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Abstract

Anti–de Sitter space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our “interior” theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry.

  • Received 2 April 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3605

©1999 American Physical Society

Authors & Affiliations

Vijay Balasubramanian1,2,* and Per Kraus3,†

  • 1Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
  • 2Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
  • 3Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637

  • *Electronic address: vijayb@pauli.harvard.edu
  • Electronic address: pkraus@theory.uchicago.edu

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Vol. 83, Iss. 18 — 1 November 1999

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