Space-time and the holographic renormalization group

Mar, 1999
12 pages
Published in:
  • Phys.Rev.Lett. 83 (1999) 3605-3608
e-Print:
Report number:
  • HUTP-99-A016,
  • EFI-99-9,
  • NSF-ITP-99-18

Citations per year

19992005201120172023051015202530
Abstract:
Anti-de Sitter (AdS) 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.
  • space-time: anti-de Sitter
  • quantum gravity
  • holography
  • renormalization group
  • field theory: conformal
  • duality
  • diffeomorphism