Holographic Krylov complexity in ${\cal N}=4$ SYM

Ali Fatemiabhari; Horatiu Nastase; Dibakar Roychowdhury

Holographic Krylov complexity in ${\cal N}=4$ SYM

High Energy Physics - Theory 2025-12-18 v2

Authors: Ali Fatemiabhari , Horatiu Nastase , Dibakar Roychowdhury

Abstract

We propose and calculate a holographic Krylov complexity in ${\cal N}=4$ SYM via the proper momentum for motion in $AdS_5$ sliced by $AdS_3$ . The motion in an $AdS_3$ subgroup corresponds to the Krylov complexity of the $Sl(2)$ subsector. The general motion corresponds to the Krylov complexity of the ${\cal N}=4$ SYM.

Cite

@article{arxiv.2511.19286,
  title  = {Holographic Krylov complexity in ${\cal N}=4$ SYM},
  author = {Ali Fatemiabhari and Horatiu Nastase and Dibakar Roychowdhury},
  journal= {arXiv preprint arXiv:2511.19286},
  year   = {2025}
}

Comments

20 pages, 4 figures; references added

Related papers

View all related →