English

Action complexity in the presence of defects and boundaries

High Energy Physics - Theory 2022-02-21 v2

Abstract

The holographic complexity of formation for the AdS3_3 22-sided Randall-Sundrum model and the AdS3_3/BCFT2_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 AdS3_3 we find that both volume and action proposals provide the same kind of logarithmic divergences.

Keywords

Cite

@article{arxiv.2112.03290,
  title  = {Action complexity in the presence of defects and boundaries},
  author = {Roberto Auzzi and Stefano Baiguera and Sara Bonansea and Giuseppe Nardelli},
  journal= {arXiv preprint arXiv:2112.03290},
  year   = {2022}
}

Comments

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