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Action complexity in the presence of defects and boundaries

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arxiv 2112.03290 v2 pith:FWYYOJ5F submitted 2021-12-06 hep-th

Roberto Auzzi , Stefano Baiguera , Sara Bonansea , Giuseppe Nardelli This is my paper · ORCID
classification hep-th
keywords actionvolumeboundariescomplexitydefectsdivergencesaccordingalways
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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.

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Cited by 1 Pith paper

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  1. Janus and RG-interfaces in minimal 3d gauged supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    New numerical interface solutions in a minimal 3d supergravity model satisfy the proposed universal inequality between transmission and entanglement.

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