Complexity and action for warped AdS black holes
Roberto Auzzi, Stefano Baiguera, Matteo Grassi, Giuseppe Nardelli and, Nicolo Zenoni
TL;DR
This paper investigates the Complexity=Action conjecture for warped AdS$_3$ black holes, finding that the action growth rate matches the product of Hawking temperature and entropy, consistent with previous volume-based results.
Contribution
It provides the first detailed analysis of the action growth rate for warped AdS$_3$ black holes, confirming the conjecture's validity in this context.
Findings
Action growth rate equals Hawking temperature times entropy
Results agree with previous Complexity=Volume calculations
Supports the universality of the Complexity=Action conjecture
Abstract
The Complexity=Action conjecture is studied for black holes in Warped AdS space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the non-rotating and the rotating case. The asymptotic growth rate is found to be equal to the Hawking temperature times the Bekenstein-Hawking entropy; this is in agreement with a previous calculation done using the Complexity=Volume conjecture.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.