English

Bath deformations, islands and holographic complexity

High Energy Physics - Theory 2022-04-08 v2 General Relativity and Quantum Cosmology

Abstract

Considering a doubly holographic model, we study the evolution of holographic subregion complexity corresponding to deformations of bath state by a relevant scalar operator, which corresponds to a renormalization group flow from the AdS-Schwarzschild to the Kasner universe in the bulk. The subregion complexity shows a discontinuous jump at Page time at a fixed perturbation, where the discontinuity depends solely on the system's parameters. We show that the amount of discontinuity decreases with the perturbation as well as with the scaling dimension of the relevant scalar operator.

Keywords

Cite

@article{arxiv.2112.06967,
  title  = {Bath deformations, islands and holographic complexity},
  author = {Aranya Bhattacharya and Arpan Bhattacharyya and Pratik Nandy and Ayan K. Patra},
  journal= {arXiv preprint arXiv:2112.06967},
  year   = {2022}
}

Comments

27 pages, 7 figures, minor typo corrected and references updated

R2 v1 2026-06-24T08:15:44.679Z