Holography for Small Values of the Cosmological Constant
Aug 25, 2023Citations per year
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
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