PIRSA:23070044

Research Talk 23 - A holographic dual for Krylov complexity

Shir, R. (2023). Research Talk 23 - A holographic dual for Krylov complexity. Perimeter Institute. https://pirsa.org/23070044

Shir, Ruth. Research Talk 23 - A holographic dual for Krylov complexity. Perimeter Institute, Jul. 28, 2023, https://pirsa.org/23070044 

          @misc{ pirsa_PIRSA:23070044,
            doi = {10.48660/23070044},
            url = {https://pirsa.org/23070044},
            author = {Shir, Ruth},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Research Talk 23 - A holographic dual for Krylov complexity},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070044 see, \url{https://pirsa.org}}
          }

Ruth Shir

Talk numberPIRSA:23070044
DOI10.48660/23070044
Collection
Talk Type Conference
Subject

Abstract

There are several suggestions for an appropriate entry for quantum complexity in the holographic duality dictionary. The question is which notion of complexity and what is the precise duality. In this talk I endeavor to answer exactly this question for one, well studied, system. Krylov complexity has the signatures of quantum complexity at all time scales; it can be defined for operators or states. I will describe some of its features and show that in the setup of 2-dimensional JT gravity, Krylov complexity computed on the boundary has a well defined, precise geometrical meaning in the bulk.