Holographic complexity of conformal fields in global de Sitter spacetime
Sanhita Parihar, Shubho R. Roy
TLDR
This paper computes holographic complexity for conformal fields in global de Sitter spacetime using volume and action prescriptions.
Key contributions
- Computes holographic complexity of conformal fields in global de Sitter spacetime.
- Utilizes both volume and action prescriptions for complexity calculations.
- Analyzes complexity for CFTs on a dS boundary of AdS and on a dS brane in AdS.
- Compares findings with existing holographic results from other de Sitter coordinate systems.
Why it matters
This work advances our understanding of holographic complexity for conformal field theories in de Sitter spacetime, which is crucial for quantum gravity and cosmology. By comparing different holographic setups, it clarifies the robustness and interpretation of complexity calculations.
Original Abstract
We compute the holographic complexity of conformal quantum fields in rigid global de Sitter spacetime (dS$_{d}$) using the volume and action prescriptions. First we consider AdS$_{d+1}$ spacetime in global dS$_{d}$ foliations, and compute the complexity of the CFT supported on the global dS$_{d}$ conformal boundary. Next, we consider CFT supported on a global dS$_d$ (UV) brane embedded in AdS$_{d+1}$ spacetime, and compute the holographic complexity in this brane set up. We compare and contrast the results in the two cases, as well as with related results in the literature obtained in alternative holographic set ups involving patches of de Sitter spacetime covered by static coordinates or conformal (Poincaré) coordinates.
📬 Weekly AI Paper Digest
Get the top 10 AI/ML arXiv papers from the week — summarized, scored, and delivered to your inbox every Monday.