Holography for Small Values of the Cosmological Constant

Aug 25, 2023
27 pages
e-Print:
Report number:
  • RUNHETC-2023-36

Citations per year

20202021202201
Abstract: (arXiv)
We review recent work on holography for finite area causal diamonds and explore its implications for the description of such diamonds in the Anti-deSitter space Conformal Field Theory correspondence. We argue that the algebra of operators in a finite area diamond is well defined in a UV cutoff tensor network construction, but is not related in any simple way to any infinite von Neumann sub-algebra of the boundary algebra or its cross product. Our argument relies on a novel construction of tensor networks that preserves rotation invariance.
Note:
  • LaTeX, 27 pages, 1 figure
  • network: tensor
  • field theory: conformal
  • operator: algebra
  • rotation: invariance
  • space: conformal
  • diamond
  • holography
  • cosmological constant
  • causality
  • von Neumann