Fate of stringy noninvertible symmetries

Noninvertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of nonin...

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Authors: Heckman, J.J., McNamara, J., Montero, M., Sharon, A., Vafa, C., Valenzuela, I.
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/408770
Online Access:http://hdl.handle.net/10261/408770
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85210289997&doi=10.1103%2FPhysRevD.110.106001&partnerID=40&md5=fbb832d2c6b719e78355b395fd587ccb
Access Level:Open access
Keyword:Conformal field theory
Gauge-gravity dualities
Strings & branes
Topological field theories
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spelling Fate of stringy noninvertible symmetriesHeckman, J.J.McNamara, J.Montero, M.Sharon, A.Vafa, C.Valenzuela, I.Conformal field theoryGauge-gravity dualitiesStrings & branesTopological field theoriesNoninvertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of noninvertible gauge symmetries In theories with gravity we find a new form of noninvertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy noninvertible gauge symmetries appear in standard examples such as non-Abelian orbifolds. Moving away from the tensionless limit always breaks these symmetries. We also find that both the conventional form of noninvertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate noninvertible symmetries have implications for swampland constraints: in certain cases they can be used to prove the existence of towers of states related to the distance conjecture, and can sometimes explain the existence of slightly subextremal states which fill in the gaps in the sublattice weak gravity conjecture. © 2024 authors. Published by the American Physical Society.The work of J. J. H. is supported by DOE (HEP) Award No. DE-SC0013528, a University Research Foundation grant at the University of Pennsylvania and by BSF Grant No. 2022100. J. M. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DESC0011632. M. M. is supported by an Atraccion del Talento Fellowship 2022-T1/TIC-23956 from Comunidad de Madrid. The work of I. V. is also partly supported by the Grant No. RYC2019-028512-I from the MCI (Spain) and the ERC Starting Grant No. QGuide-101042568—StG 2021. M. M. and I. V. also acknowledge the support of the Grants No. CEX2020-001007-S and No. PID2021-123017NB-I00, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. C. V. is supported by a grant from the Simons Foundation (602883,CV), the DellaPietra Foundation, and by NSF Grant No. PHY-2013858. We thank the 2023 Simons Summer Workshop for hospitality. J. M., M. M., A. S. and I. V. thank ICBS Daejeon for hospitality during the “CERN-Korea workshop: Recent trends in and out of the swampland”. J. M., M. M., and I. V. thank the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-2210452 for hospitality during the 2023 summer program “Traversing the Particle Physics Peaks—Phenomenology to Formal.” J. J. H. and J. M. thank the 2023 NYU Satellite Workshop on Global Categorical Symmetries for hospitality during part of this work. J. J. H., J. M., and A..S thank the 2023 meeting of the Simons Collaboration on Global Categorical Symmetries for hospitality during part of this work.Peer reviewedAmerican Physical SocietyMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/408770https://www.scopus.com/inward/record.uri?eid=2-s2.0-85210289997&doi=10.1103%2FPhysRevD.110.106001&partnerID=40&md5=fbb832d2c6b719e78355b395fd587ccbreponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1103/PhysRevD.110.106001Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4087702026-05-22T06:33:51Z
dc.title.none.fl_str_mv Fate of stringy noninvertible symmetries
title Fate of stringy noninvertible symmetries
spellingShingle Fate of stringy noninvertible symmetries
Heckman, J.J.
Conformal field theory
Gauge-gravity dualities
Strings & branes
Topological field theories
title_short Fate of stringy noninvertible symmetries
title_full Fate of stringy noninvertible symmetries
title_fullStr Fate of stringy noninvertible symmetries
title_full_unstemmed Fate of stringy noninvertible symmetries
title_sort Fate of stringy noninvertible symmetries
dc.creator.none.fl_str_mv Heckman, J.J.
McNamara, J.
Montero, M.
Sharon, A.
Vafa, C.
Valenzuela, I.
author Heckman, J.J.
author_facet Heckman, J.J.
McNamara, J.
Montero, M.
Sharon, A.
Vafa, C.
Valenzuela, I.
author_role author
author2 McNamara, J.
Montero, M.
Sharon, A.
Vafa, C.
Valenzuela, I.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Conformal field theory
Gauge-gravity dualities
Strings & branes
Topological field theories
topic Conformal field theory
Gauge-gravity dualities
Strings & branes
Topological field theories
description Noninvertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of noninvertible gauge symmetries In theories with gravity we find a new form of noninvertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy noninvertible gauge symmetries appear in standard examples such as non-Abelian orbifolds. Moving away from the tensionless limit always breaks these symmetries. We also find that both the conventional form of noninvertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate noninvertible symmetries have implications for swampland constraints: in certain cases they can be used to prove the existence of towers of states related to the distance conjecture, and can sometimes explain the existence of slightly subextremal states which fill in the gaps in the sublattice weak gravity conjecture. © 2024 authors. Published by the American Physical Society.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/408770
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85210289997&doi=10.1103%2FPhysRevD.110.106001&partnerID=40&md5=fbb832d2c6b719e78355b395fd587ccb
url http://hdl.handle.net/10261/408770
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85210289997&doi=10.1103%2FPhysRevD.110.106001&partnerID=40&md5=fbb832d2c6b719e78355b395fd587ccb
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1103/PhysRevD.110.106001
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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repository.mail.fl_str_mv
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