Holographic Krylov spread complexity for a confining multi-charge AdS soliton

@misc{chatzis2026holographic,
  title = {{Holographic Krylov spread complexity for a confining multi-charge AdS soliton}},
  author = {Dimitrios Chatzis and Madison Hammond and Ricardo T. Santamaria and Jonathan Whittle},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38313},
  eprint = {2609.38313},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38313},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Holographic Krylov spread complexity for a confining multi-charge AdS soliton
AU  - Dimitrios Chatzis
AU  - Madison Hammond
AU  - Ricardo T. Santamaria
AU  - Jonathan Whittle
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38313
UR  - https://arxiv.org/abs/2609.38313
AB  - We study holographic spread complexity for a Type IIB solution dual to a deformation of 𝒩 = 4 SYM that flows to a confining (2+1)-dimensional supersymmetric theory in the IR. We use the proposal that relates the rate of change of spread complexity of local operators with the proper momentum of an infalling probe particle in the bulk. We analyse two cases: a probe particle falling radially and a probe falling radially while rotating with conserved angular momentum. We elaborate on how to define the proper coordinate in the presence of a conserved Noether charge using the Routhian. The trajectories for the probes were studied numerically, revealing an oscillatory behaviour of the complexity.
ER  -