Statut | Confirmé |
Série | RENC-THEO |
Domaines | hep-th |
Date | Jeudi 30 Novembre 2023 |
Heure | 10:00 |
Institut | IHP |
Salle | Mirzakhani (201) |
Nom de l'orateur | Shir |
Prenom de l'orateur | Ruth |
Addresse email de l'orateur | |
Institution de l'orateur | University of Luxembourg |
Titre | A gravitational manifestation of Krylov complexity |
Résumé | Within the framework of the AdS/CFT correspondence, the time dynamics of black holes in the bulk hints to the existence of boundary observables that evolve for very long time-scales. The search for such boundary observables yielded several notions of quantum complexity, though a precise and direct bulk-boundary correspondence was lacking. In this talk we focus on a particular notion of quantum complexity, known as Krylov complexity. We will provide a pedagogical overview, including some interesting results, for this boundary observable, and show how to work with it in the case of double-scaled SYK. Finally, we will show that in the limit where double-scaled SYK is dual to JT gravity, Krylov complexity evolving in time on the boundary has a precise gravitational description in the bulk. |
Numéro de preprint arXiv | |
Commentaires | |
Fichiers attachés |
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