Action complexity in the presence of defects and boundaries

Roberto Auzzi; Stefano Baiguera; Sara Bonansea; Giuseppe Nardelli

doi:10.1007/JHEP02(2022)118

Action complexity in the presence of defects and boundaries

Roberto Auzzi, Stefano Baiguera, Sara Bonansea, Giuseppe Nardelli

Department of Physics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The holographic complexity of formation for the AdS₃ 2-sided Randall-Sundrum model and the AdS₃/BCFT₂ 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 AdS₃ we find that both volume and action proposals provide the same kind of logarithmic divergences.

Original language	English
Article number	118
Journal	Journal of High Energy Physics
Volume	2022
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2022)118
State	Published - 1 Feb 2022

Keywords

AdS-CFT Correspondence
Gauge-Gravity Correspondence

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP02(2022)118

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abstract = "The holographic complexity of formation for the AdS3 2-sided Randall-Sundrum model and the AdS3/BCFT2 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 AdS3 we find that both volume and action proposals provide the same kind of logarithmic divergences.",

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AU - Bonansea, Sara

AU - Nardelli, Giuseppe

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AB - The holographic complexity of formation for the AdS3 2-sided Randall-Sundrum model and the AdS3/BCFT2 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 AdS3 we find that both volume and action proposals provide the same kind of logarithmic divergences.

KW - AdS-CFT Correspondence

KW - Gauge-Gravity Correspondence

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JO - Journal of High Energy Physics

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Action complexity in the presence of defects and boundaries

Abstract

Keywords

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