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

Published 24 Nov 2025 in hep-th | (2511.19286v1)

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.

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