Volume and complexity for warped AdS black holes
Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli
TL;DR
This paper investigates the Complexity=Volume conjecture for Warped AdS$_3$ black holes, finding that the volume growth rate aligns with thermodynamic properties, supporting the connection between geometry and complexity.
Contribution
It provides the first detailed computation of the Einstein-Rosen bridge volume growth for Warped AdS$_3$ black holes, confirming theoretical predictions.
Findings
Volume growth rate proportional to temperature times entropy
Supports the Complexity=Volume conjecture in warped geometries
Finds consistency with boundary theory expectations
Abstract
We study the Complexity=Volume conjecture for Warped AdS black holes. We compute the spatial volume of the Einstein-Rosen bridge and we find that its growth rate is proportional to the Hawking temperature times the Bekenstein-Hawking entropy. This is consistent with expectations about computational complexity in the boundary theory.
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