Action complexity in the presence of defects and boundaries

Abstract

The holographic complexity of formation for the AdS${}_3$ $2$-sided Randall-Sundrum model and the AdS${}_3$/BCFT${}_2$ models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might be tempted to conclude that the UV divergences of the volume and action conjectures are always different for defects and boundaries in two-dimensional conformal field theories. We show that this is not the case. In fact, in Janus AdS${}_3$ we find that both volume and action proposals provide the same kind of logarithmic divergences.

41 pages, 8 figures; v2: journal version with minor changes

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• Holographic complexity: braneworld gravity versus the Lloyd bound
• The Cosmological Switchback Effect II
• Action complexity of charged black holes with higher derivative interactions
• The Complexity of Being Entangled