25 papers
Krylov Complexity and -function along RG Flows
Carlos Nunez, Dibakar Roychowdhury
We investigate Krylov spread complexity along holographic renormalisation-group flows using the proposal that its growth rate is captured by the proper radial momentum of an in-fal…
Krylov complexity and spectral density of BMN matrix model
Dibakar Roychowdhury
We use Krylov complexity as a typical diagnostic of quantum many body dynamics in the context of BMN matrix model at large mass gap. We calculate several physical entities, for exa…
Krylov Complexity for Plane Wave Matrix Model
Dibakar Roychowdhury
We study Krylov complexity in BMN Plane Wave Matrix Model at large mass deformation. We consider various consistent reductions of the matrix model that allow us to perform a Hamilt…
Krylov state complexity for BMN matrix model
Dibakar Roychowdhury
We explore Krylov complexity in the BMN matrix model following a systematic reduction of it, known as the pulsating fuzzy sphere model. We present an analytical setup that allows u…
Complexity and Operator Growth in Holographic 6d SCFTs
Ali Fatemiabhari, Carlos Nunez, Ricardo T. Santamaria
We study Krylov (spread) complexity in strongly coupled six-dimensional superconformal field theories with holographic duals in massive type IIA supergravity. Exte…
Krylov complexity for Lin-Maldacena geometries and their holographic duals
Dibakar Roychowdhury
We compute the rate of growth of operator size in matrix models by probing the Lin-Maldacena class of geometries with classical probes. We consider massive point particle probes wh…