Holographic Krylov complexity for conformal quiver gauge theories

Fatemiabhari, Ali; Nastase, Horatiu; Nunez, Carlos; Roychowdhury, Dibakar

doi:10.1016/j.nuclphysb.2026.117402

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Holographic Krylov complexity for conformal quiver gauge theories

Ali Fatemiabhari

, 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...

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Published in:	Nuclear Physics B
ISSN:	0550-3213 1873-1562
Published:	Elsevier BV 2026
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa71726

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last_indexed	2026-04-11T04:52:13Z
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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. 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spelling	v2 71726 2026-04-10 Holographic Krylov complexity for conformal quiver gauge theories 1fff8a27c5649675cda6e190dc0c74c3 0000-0003-1369-6505 Ali Fatemiabhari Ali Fatemiabhari true false c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2026-04-10 BGPS 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 Journal Article Nuclear Physics B 1025 117402 Elsevier BV 0550-3213 1873-1562 AdS/CFT; Complexity 1 4 2026 2026-04-01 10.1016/j.nuclphysb.2026.117402 High Energy Physics - Theory COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Other 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. ST/Y509644-1, ST/X000648/1 and ST/T000813/1 2026-05-08T10:21:34.1813269 2026-04-10T08:08:18.1109180 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ali Fatemiabhari 0000-0003-1369-6505 1 Horatiu Nastase 0000-0002-9383-6047 2 Carlos Nunez 0000-0002-1958-9551 3 Dibakar Roychowdhury 0000-0003-0602-425x 4 71726__36680__5d55e65f3ece4dc48125e08fd7fa4aea.pdf 71726.VOR.pdf 2026-05-08T10:12:40.4537898 Output 2077445 application/pdf Version of Record true © 2026 The Authors. This is an open access article distributed under the terms of the Creative Commons CC-BY license. true eng http://creativecommons.org/licenses/by/4.0/
title	Holographic Krylov complexity for conformal quiver gauge theories
spellingShingle	Holographic Krylov complexity for conformal quiver gauge theories Ali Fatemiabhari Carlos Nunez
title_short	Holographic Krylov complexity for conformal quiver gauge theories
title_full	Holographic Krylov complexity for conformal quiver gauge theories
title_fullStr	Holographic Krylov complexity for conformal quiver gauge theories
title_full_unstemmed	Holographic Krylov complexity for conformal quiver gauge theories
title_sort	Holographic Krylov complexity for conformal quiver gauge theories
author_id_str_mv	1fff8a27c5649675cda6e190dc0c74c3 c0d6540c37ad4b0a5934d3978048fb2a
author_id_fullname_str_mv	1fff8a27c5649675cda6e190dc0c74c3_*_Ali Fatemiabhari c0d6540c37ad4b0a5934d3978048fb2a_*_Carlos Nunez
author	Ali Fatemiabhari Carlos Nunez
author2	Ali Fatemiabhari Horatiu Nastase Carlos Nunez Dibakar Roychowdhury
format	Journal article
container_title	Nuclear Physics B
container_volume	1025
container_start_page	117402
publishDate	2026
institution	Swansea University
issn	0550-3213 1873-1562
doi_str_mv	10.1016/j.nuclphysb.2026.117402
publisher	Elsevier BV
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
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department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description	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
published_date	2026-04-01T10:21:35Z
_version_	1864611498179952640
score	10.699145

Holographic Krylov complexity for conformal quiver gauge theories

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