No Cover Image

Journal article 64 views 3 downloads

Complexity and operator growth in holographic 6d SCFTs

Ali Fatemiabhari Orcid Logo, Carlos Nunez Orcid Logo, Ricardo T. Santamaria

Nuclear Physics B, Volume: 1028, Start page: 117496

Swansea University Authors: Ali Fatemiabhari Orcid Logo, Carlos Nunez Orcid Logo

  • 71901.VOR.pdf

    PDF | Version of Record

    © 2026 The Authors. This is an open access article distributed under the terms of the Creative Commons CC-BY license.

    Download (1.94MB)

Check full text

DOI (Published version): 10.1016/j.nuclphysb.2026.117496

Abstract

We study Krylov (spread) complexity in strongly coupled six–dimensional N = (1, 0) superconformal field theories with holographic duals in massive type IIA supergravity. Extending recent holographic proposals relating Krylov complexity growth to the proper momentum of an infalling particle, we analy...

Full description

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/cronfa71901
first_indexed 2026-05-14T13:52:04Z
last_indexed 2026-05-22T20:28:12Z
id cronfa71901
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2026-05-20T12:18:21.3134572</datestamp><bib-version>v2</bib-version><id>71901</id><entry>2026-05-14</entry><title>Complexity and operator growth in holographic 6d SCFTs</title><swanseaauthors><author><sid>1fff8a27c5649675cda6e190dc0c74c3</sid><ORCID>0000-0003-1369-6505</ORCID><firstname>Ali</firstname><surname>Fatemiabhari</surname><name>Ali Fatemiabhari</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>c0d6540c37ad4b0a5934d3978048fb2a</sid><ORCID>0000-0002-1958-9551</ORCID><firstname>Carlos</firstname><surname>Nunez</surname><name>Carlos Nunez</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2026-05-14</date><deptcode>BGPS</deptcode><abstract>We study Krylov (spread) complexity in strongly coupled six&#x2013;dimensional N = (1, 0) superconformal field theories with holographic duals in massive type IIA supergravity. Extending recent holographic proposals relating Krylov complexity growth to the proper momentum of an infalling particle, we analyse the dynamics of massive geodesic probes in these geometries. In our setup, the bulk particle is allowed to move along three directions: the radial AdS coordinate, the internal S2 associated with the SU(2)R symmetry, and the coordinate parametrising the quiver. In the dual field theory these motions encode, respectively, operator growth, the presence of R-symmetry charges, and spreading across different nodes of the quiver. We analyse the geodesic motion both analytically and numerically for representative quiver configurations. The motion along the quiver direction is typically damped and localised at early times, while the late-time behaviour is dominated by the radial AdS motion. As a consequence, the generalised proper momentum grows linearly at late times, consistent with expectations for Krylov complexity in conformal theories. The inclusion of angular momentum (SU(2)R charge) introduces additional constraints on the allowed motion and modifies the early-time dynamics while leaving the asymptotic behaviour unchanged. These results provide a first exploration of Krylov complexity in higher-dimensional holographic conformal theories and reveal how operator growth can probe both internal symmetries and quiver structure in strongly coupled conformal field theories.</abstract><type>Journal Article</type><journal>Nuclear Physics B</journal><volume>1028</volume><journalNumber/><paginationStart>117496</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0550-3213</issnPrint><issnElectronic>1873-1562</issnElectronic><keywords>AdS/CFT; Complexity</keywords><publishedDay>1</publishedDay><publishedMonth>7</publishedMonth><publishedYear>2026</publishedYear><publishedDate>2026-07-01</publishedDate><doi>10.1016/j.nuclphysb.2026.117496</doi><url/><notes>High Energy Physics &#x2013; Theory</notes><college>COLLEGE NANME</college><department>Biosciences Geography and Physics School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>BGPS</DepartmentCode><institution>Swansea University</institution><apcterm>Not Required</apcterm><funders>C. N. is supported by STFC&#x2019;s grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1. The work of R.T. has been supported by EPSRC Grant EP/Z535175/1 and STFC grant UKRI1787.</funders><projectreference>ST/Y509644-1, ST/X000648/1 and ST/T000813/1.</projectreference><lastEdited>2026-05-20T12:18:21.3134572</lastEdited><Created>2026-05-14T14:48:40.5286422</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Ali</firstname><surname>Fatemiabhari</surname><orcid>0000-0003-1369-6505</orcid><order>1</order></author><author><firstname>Carlos</firstname><surname>Nunez</surname><orcid>0000-0002-1958-9551</orcid><order>2</order></author><author><firstname>Ricardo T.</firstname><surname>Santamaria</surname><order>3</order></author></authors><documents><document><filename>71901__36795__bf183032a4f74e6384416ded6cb5ad82.pdf</filename><originalFilename>71901.VOR.pdf</originalFilename><uploaded>2026-05-19T15:52:57.9158886</uploaded><type>Output</type><contentLength>2039323</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; 2026 The Authors. This is an open access article distributed under the terms of the Creative Commons CC-BY license.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2026-05-20T12:18:21.3134572 v2 71901 2026-05-14 Complexity and operator growth in holographic 6d SCFTs 1fff8a27c5649675cda6e190dc0c74c3 0000-0003-1369-6505 Ali Fatemiabhari Ali Fatemiabhari true false c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2026-05-14 BGPS We study Krylov (spread) complexity in strongly coupled six–dimensional N = (1, 0) superconformal field theories with holographic duals in massive type IIA supergravity. Extending recent holographic proposals relating Krylov complexity growth to the proper momentum of an infalling particle, we analyse the dynamics of massive geodesic probes in these geometries. In our setup, the bulk particle is allowed to move along three directions: the radial AdS coordinate, the internal S2 associated with the SU(2)R symmetry, and the coordinate parametrising the quiver. In the dual field theory these motions encode, respectively, operator growth, the presence of R-symmetry charges, and spreading across different nodes of the quiver. We analyse the geodesic motion both analytically and numerically for representative quiver configurations. The motion along the quiver direction is typically damped and localised at early times, while the late-time behaviour is dominated by the radial AdS motion. As a consequence, the generalised proper momentum grows linearly at late times, consistent with expectations for Krylov complexity in conformal theories. The inclusion of angular momentum (SU(2)R charge) introduces additional constraints on the allowed motion and modifies the early-time dynamics while leaving the asymptotic behaviour unchanged. These results provide a first exploration of Krylov complexity in higher-dimensional holographic conformal theories and reveal how operator growth can probe both internal symmetries and quiver structure in strongly coupled conformal field theories. Journal Article Nuclear Physics B 1028 117496 Elsevier BV 0550-3213 1873-1562 AdS/CFT; Complexity 1 7 2026 2026-07-01 10.1016/j.nuclphysb.2026.117496 High Energy Physics – Theory COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required C. N. is supported by STFC’s grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1. The work of R.T. has been supported by EPSRC Grant EP/Z535175/1 and STFC grant UKRI1787. ST/Y509644-1, ST/X000648/1 and ST/T000813/1. 2026-05-20T12:18:21.3134572 2026-05-14T14:48:40.5286422 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ali Fatemiabhari 0000-0003-1369-6505 1 Carlos Nunez 0000-0002-1958-9551 2 Ricardo T. Santamaria 3 71901__36795__bf183032a4f74e6384416ded6cb5ad82.pdf 71901.VOR.pdf 2026-05-19T15:52:57.9158886 Output 2039323 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 Complexity and operator growth in holographic 6d SCFTs
spellingShingle Complexity and operator growth in holographic 6d SCFTs
Ali Fatemiabhari
Carlos Nunez
title_short Complexity and operator growth in holographic 6d SCFTs
title_full Complexity and operator growth in holographic 6d SCFTs
title_fullStr Complexity and operator growth in holographic 6d SCFTs
title_full_unstemmed Complexity and operator growth in holographic 6d SCFTs
title_sort Complexity and operator growth in holographic 6d SCFTs
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
Carlos Nunez
Ricardo T. Santamaria
format Journal article
container_title Nuclear Physics B
container_volume 1028
container_start_page 117496
publishDate 2026
institution Swansea University
issn 0550-3213
1873-1562
doi_str_mv 10.1016/j.nuclphysb.2026.117496
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We study Krylov (spread) complexity in strongly coupled six–dimensional N = (1, 0) superconformal field theories with holographic duals in massive type IIA supergravity. Extending recent holographic proposals relating Krylov complexity growth to the proper momentum of an infalling particle, we analyse the dynamics of massive geodesic probes in these geometries. In our setup, the bulk particle is allowed to move along three directions: the radial AdS coordinate, the internal S2 associated with the SU(2)R symmetry, and the coordinate parametrising the quiver. In the dual field theory these motions encode, respectively, operator growth, the presence of R-symmetry charges, and spreading across different nodes of the quiver. We analyse the geodesic motion both analytically and numerically for representative quiver configurations. The motion along the quiver direction is typically damped and localised at early times, while the late-time behaviour is dominated by the radial AdS motion. As a consequence, the generalised proper momentum grows linearly at late times, consistent with expectations for Krylov complexity in conformal theories. The inclusion of angular momentum (SU(2)R charge) introduces additional constraints on the allowed motion and modifies the early-time dynamics while leaving the asymptotic behaviour unchanged. These results provide a first exploration of Krylov complexity in higher-dimensional holographic conformal theories and reveal how operator growth can probe both internal symmetries and quiver structure in strongly coupled conformal field theories.
published_date 2026-07-01T12:58:09Z
_version_ 1865980302482997248
score 11.106347

Similar Items