Holographic Krylov complexity in confining gauge theories
4 affiliations
- 1Lomonosov Moscow State University
- 2UNESP-Universidade Estadual Paulista
- 3Swansea University
- 4Indian Institute of Technology Roorkee
Abstract
A bstract We study a bulk holographic diagnostic of Krylov (spread) complexity in the Anabalón-Ross solitonic background, a top-down Type IIB solution describing a twisted-circle compactification of 𝒩 N = 4 SYM which flows to a gapped, confining, effectively three-dimensional theory in the infrared. Our calculation assumes the recently proposed relation between the rate of spread complexity and the proper radial momentum of an infalling massive probe; it should therefore be read as a controlled bulk test of this proposal, rather than as an independent boundary-field-theory derivation of Krylov complexity. We solve the radial geodesic problem analytically, in the supersymmetric case, in terms of elliptic functions, and verify the result through the UV and IR expansions. The finite end of the space makes the proper momentum finite and leads to bounded, oscillatory behaviour of the associated complexity proxy, in contrast with the unbounded pure-AdS result. We also explain how the oscillation time is controlled by the same geometric scale that sets the Kaluza-Klein and glueball scales. The non-supersymmetric case is treated in the appendix. The result gives a top-down arena in which to sharpen the proposed spread-momentum correspondence and to compare confinement-induced suppression of complexity growth with future direct field-theory calculations.
Related
BibTeX
@article{fatemiabhari2026holographic,
title = {{Holographic Krylov complexity in confining gauge theories}},
author = {Ali Fatemiabhari and Horaƫiu Năstase and Carlos Núñez and Dibakar Roychowdhury B},
journal = {Journal of High Energy Physics},
year = {2026},
month = sep,
doi = {10.1007/jhep09(2026)155},
url = {https://doi.org/10.1007/jhep09(2026)155},
note = {CC BY},
}
RIS
TY - JOUR
TI - Holographic Krylov complexity in confining gauge theories
AU - Ali Fatemiabhari
AU - Horaƫiu Năstase
AU - Carlos Núñez
AU - Dibakar Roychowdhury B
PY - 2026
DA - 2026/09/11
JO - Journal of High Energy Physics
DO - 10.1007/jhep09(2026)155
UR - https://doi.org/10.1007/jhep09(2026)155
AB - A bstract We study a bulk holographic diagnostic of Krylov (spread) complexity in the Anabalón-Ross solitonic background, a top-down Type IIB solution describing a twisted-circle compactification of 𝒩 N = 4 SYM which flows to a gapped, confining, effectively three-dimensional theory in the infrared. Our calculation assumes the recently proposed relation between the rate of spread complexity and the proper radial momentum of an infalling massive probe; it should therefore be read as a controlled bulk test of this proposal, rather than as an independent boundary-field-theory derivation of Krylov complexity. We solve the radial geodesic problem analytically, in the supersymmetric case, in terms of elliptic functions, and verify the result through the UV and IR expansions. The finite end of the space makes the proper momentum finite and leads to bounded, oscillatory behaviour of the associated complexity proxy, in contrast with the unbounded pure-AdS result. We also explain how the oscillation time is controlled by the same geometric scale that sets the Kaluza-Klein and glueball scales. The non-supersymmetric case is treated in the appendix. The result gives a top-down arena in which to sharpen the proposed spread-momentum correspondence and to compare confinement-induced suppression of complexity growth with future direct field-theory calculations.
SN - 1029-8479
SN - 1126-6708
SN - 1127-2236
ER -