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Holographic Krylov complexity for conformal quiver gauge theories
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Horatiu Nastase ,
Carlos Nunez ,
Dibakar Roychowdhury
Nuclear Physics B, Volume: 1025, Start page: 117402
Swansea University Authors:
Ali Fatemiabhari , Carlos Nunez
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DOI (Published version): 10.1016/j.nuclphysb.2026.117402
Abstract
We investigate holographic Krylov complexity in fully top-down AdS3 and AdS2 supergravity backgrounds dual to two-dimensional linear-quiver SCFTs and one-dimensional conformal quantum mechanics. In these geometries, the warp factors, dilaton and other fields depend non-trivially on the ‘quiver coord...
| Published in: | Nuclear Physics B |
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| ISSN: | 0550-3213 1873-1562 |
| Published: |
Elsevier BV
2026
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa71726 |
| Abstract: |
We investigate holographic Krylov complexity in fully top-down AdS3 and AdS2 supergravity backgrounds dual to two-dimensional linear-quiver SCFTs and one-dimensional conformal quantum mechanics. In these geometries, the warp factors, dilaton and other fields depend non-trivially on the ‘quiver coordinate’ (denoted by η in this paper). This η-coordinate encodes the color and flavor data of the dual theories. As a consequence, a massive probe following a holographic geodesic necessarily moves simultaneously in the radial AdS direction and along the ‘quiver direction’. This produces new contributions to the proper momentum and hence to the rate of Krylov complexity growth, which is absent in bottom-up AdS models. We show that the η-motion is generically damped, with a time-scale governed by the UV cutoff of the geodesic problem, and modifies the early-time evolution of complexity in a quiver-dependent way. At late times, the η-dynamics freezes and the growth becomes universal, matching pure Poincare AdS predictions. Studying Abelian and non-Abelian T-dual backgrounds of AdS3 × S3 × T4, quivers with localized flavor groups, and quivers with smeared flavor groups, we quantify how quiver parameters shape the operator-spreading dynamics. Our results provide a systematic characterization of Krylov complexity in top-down AdS3/AdS2 duals and reveal a holographic mechanism through which complexity probes both ultraviolet quiver structure and emergent infrared universality |
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| Item Description: |
High Energy Physics - Theory |
| Keywords: |
AdS/CFT; Complexity |
| College: |
Faculty of Science and Engineering |
| Funders: |
The work of HN is supported in part by CNPq grant 304583/2023-5 and FAPESP grant 2019/21281-4. HN would also like to thank the ICTP-SAIFR for their support through FAPESP grant 2021/14335-0. C. N. is supported by STFC’s grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1. DR would like to acknowledge the Mathematical Research Impact Centric Support (MATRICS) grant (MTR/2023/000005) received from ANRF, India. |
| Start Page: |
117402 |