Holographic complexity in dSd+1

We study the CV, CA, and CV2.0 approaches to holographic complexity in (d + 1)-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In particular, the holographic complexity exhibits 'hyperfast' growth [1] and appears to diverge with a universal power law at a (finite) critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of the holographic complexity is linear in time.

Automated summary

We study holographic complexity in de Sitter spacetime and find that it exhibits universal behavior in different approaches. Specifically, holographic complexity shows 'hyperfast' growth and appears to diverge with a universal power law at a finite critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of holographic complexity is linear in time.