On the Fate of Stringy Non-Invertible Symmetries Article Swipe
Jonathan J. Heckman
,
Jacob McNamara
,
Miguel Montero
,
Adar Sharon
,
Cumrun Vafa
,
Irene Valenzuela
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2402.00118
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2402.00118
Non-invertible 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 non-invertible gauge symmetries? In theories with gravity we find a new form of non-invertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy non-invertible 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 non-invertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate non-invertible 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 sub-extremal states which fill in the gaps in the sublattice Weak Gravity Conjecture.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2402.00118
- https://arxiv.org/pdf/2402.00118
- OA Status
- green
- Cited By
- 2
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391514379
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4391514379Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2402.00118Digital Object Identifier
- Title
-
On the Fate of Stringy Non-Invertible SymmetriesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-01-31Full publication date if available
- Authors
-
Jonathan J. Heckman, Jacob McNamara, Miguel Montero, Adar Sharon, Cumrun Vafa, Irene ValenzuelaList of authors in order
- Landing page
-
https://arxiv.org/abs/2402.00118Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2402.00118Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2402.00118Direct OA link when available
- Concepts
-
Homogeneous space, Invertible matrix, Theoretical physics, Pure mathematics, Physics, Mathematics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2Per-year citation counts (last 5 years)
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4391514379 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2402.00118 |
| ids.doi | https://doi.org/10.48550/arxiv.2402.00118 |
| ids.openalex | https://openalex.org/W4391514379 |
| fwci | |
| type | preprint |
| title | On the Fate of Stringy Non-Invertible Symmetries |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T12516 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9577000141143799 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3109 |
| topics[0].subfield.display_name | Statistical and Nonlinear Physics |
| topics[0].display_name | Advanced Mathematical Theories and Applications |
| topics[1].id | https://openalex.org/T12162 |
| topics[1].field.id | https://openalex.org/fields/17 |
| topics[1].field.display_name | Computer Science |
| topics[1].score | 0.954800009727478 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1703 |
| topics[1].subfield.display_name | Computational Theory and Mathematics |
| topics[1].display_name | Cellular Automata and Applications |
| topics[2].id | https://openalex.org/T12002 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.9506000280380249 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1703 |
| topics[2].subfield.display_name | Computational Theory and Mathematics |
| topics[2].display_name | Computability, Logic, AI Algorithms |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C96469262 |
| concepts[0].level | 2 |
| concepts[0].score | 0.8460404872894287 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1324364 |
| concepts[0].display_name | Homogeneous space |
| concepts[1].id | https://openalex.org/C96442724 |
| concepts[1].level | 2 |
| concepts[1].score | 0.7617143988609314 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q242188 |
| concepts[1].display_name | Invertible matrix |
| concepts[2].id | https://openalex.org/C33332235 |
| concepts[2].level | 1 |
| concepts[2].score | 0.4753122925758362 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q18362 |
| concepts[2].display_name | Theoretical physics |
| concepts[3].id | https://openalex.org/C202444582 |
| concepts[3].level | 1 |
| concepts[3].score | 0.4494216740131378 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[3].display_name | Pure mathematics |
| concepts[4].id | https://openalex.org/C121332964 |
| concepts[4].level | 0 |
| concepts[4].score | 0.43631500005722046 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[4].display_name | Physics |
| concepts[5].id | https://openalex.org/C33923547 |
| concepts[5].level | 0 |
| concepts[5].score | 0.40274810791015625 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[5].display_name | Mathematics |
| concepts[6].id | https://openalex.org/C2524010 |
| concepts[6].level | 1 |
| concepts[6].score | 0.14126834273338318 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[6].display_name | Geometry |
| keywords[0].id | https://openalex.org/keywords/homogeneous-space |
| keywords[0].score | 0.8460404872894287 |
| keywords[0].display_name | Homogeneous space |
| keywords[1].id | https://openalex.org/keywords/invertible-matrix |
| keywords[1].score | 0.7617143988609314 |
| keywords[1].display_name | Invertible matrix |
| keywords[2].id | https://openalex.org/keywords/theoretical-physics |
| keywords[2].score | 0.4753122925758362 |
| keywords[2].display_name | Theoretical physics |
| keywords[3].id | https://openalex.org/keywords/pure-mathematics |
| keywords[3].score | 0.4494216740131378 |
| keywords[3].display_name | Pure mathematics |
| keywords[4].id | https://openalex.org/keywords/physics |
| keywords[4].score | 0.43631500005722046 |
| keywords[4].display_name | Physics |
| keywords[5].id | https://openalex.org/keywords/mathematics |
| keywords[5].score | 0.40274810791015625 |
| keywords[5].display_name | Mathematics |
| keywords[6].id | https://openalex.org/keywords/geometry |
| keywords[6].score | 0.14126834273338318 |
| keywords[6].display_name | Geometry |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2402.00118 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2402.00118 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2402.00118 |
| locations[1].id | doi:10.48550/arxiv.2402.00118 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2402.00118 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5071364258 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-3939-7810 |
| authorships[0].author.display_name | Jonathan J. Heckman |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Heckman, Jonathan J. |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5018716272 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-1446-7969 |
| authorships[1].author.display_name | Jacob McNamara |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | McNamara, Jacob |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5050731303 |
| authorships[2].author.orcid | |
| authorships[2].author.display_name | Miguel Montero |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Montero, Miguel |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5029257322 |
| authorships[3].author.orcid | https://orcid.org/0000-0002-7029-8645 |
| authorships[3].author.display_name | Adar Sharon |
| authorships[3].author_position | middle |
| authorships[3].raw_author_name | Sharon, Adar |
| authorships[3].is_corresponding | False |
| authorships[4].author.id | https://openalex.org/A5112582417 |
| authorships[4].author.orcid | |
| authorships[4].author.display_name | Cumrun Vafa |
| authorships[4].author_position | middle |
| authorships[4].raw_author_name | Vafa, Cumrun |
| authorships[4].is_corresponding | False |
| authorships[5].author.id | https://openalex.org/A5042598895 |
| authorships[5].author.orcid | https://orcid.org/0000-0002-6658-8121 |
| authorships[5].author.display_name | Irene Valenzuela |
| authorships[5].author_position | last |
| authorships[5].raw_author_name | Valenzuela, Irene |
| authorships[5].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2402.00118 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | On the Fate of Stringy Non-Invertible Symmetries |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T12516 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9577000141143799 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3109 |
| primary_topic.subfield.display_name | Statistical and Nonlinear Physics |
| primary_topic.display_name | Advanced Mathematical Theories and Applications |
| related_works | https://openalex.org/W4251428025, https://openalex.org/W4289867043, https://openalex.org/W1979597421, https://openalex.org/W2784467519, https://openalex.org/W2007980826, https://openalex.org/W4245490552, https://openalex.org/W4299394963, https://openalex.org/W1594396050, https://openalex.org/W4298192601, https://openalex.org/W1983192181 |
| cited_by_count | 2 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 2 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2402.00118 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2402.00118 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2402.00118 |
| primary_location.id | pmh:oai:arXiv.org:2402.00118 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2402.00118 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2402.00118 |
| publication_date | 2024-01-31 |
| publication_year | 2024 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 15, 56 |
| abstract_inverted_index.In | 20, 50 |
| abstract_inverted_index.We | 95 |
| abstract_inverted_index.as | 31, 82 |
| abstract_inverted_index.be | 29, 131 |
| abstract_inverted_index.in | 2, 65, 78, 113, 126, 158, 161 |
| abstract_inverted_index.of | 12, 25, 34, 46, 59, 68, 103, 137, 139, 152 |
| abstract_inverted_index.to | 14, 133, 142 |
| abstract_inverted_index.we | 54 |
| abstract_inverted_index.One | 38 |
| abstract_inverted_index.and | 107, 146 |
| abstract_inverted_index.any | 43 |
| abstract_inverted_index.are | 41, 111 |
| abstract_inverted_index.can | 28, 130, 147 |
| abstract_inverted_index.for | 123 |
| abstract_inverted_index.may | 39 |
| abstract_inverted_index.new | 57 |
| abstract_inverted_index.the | 8, 66, 88, 100, 135, 143, 150, 159, 162 |
| abstract_inverted_index.Weak | 164 |
| abstract_inverted_index.also | 96 |
| abstract_inverted_index.ask: | 40 |
| abstract_inverted_index.away | 86 |
| abstract_inverted_index.both | 99 |
| abstract_inverted_index.dual | 32 |
| abstract_inverted_index.fill | 157 |
| abstract_inverted_index.find | 55, 97 |
| abstract_inverted_index.form | 58, 102 |
| abstract_inverted_index.from | 87 |
| abstract_inverted_index.gaps | 160 |
| abstract_inverted_index.have | 121 |
| abstract_inverted_index.many | 21 |
| abstract_inverted_index.more | 16 |
| abstract_inverted_index.rule | 11 |
| abstract_inverted_index.such | 81 |
| abstract_inverted_index.that | 63, 98 |
| abstract_inverted_index.they | 129 |
| abstract_inverted_index.used | 132 |
| abstract_inverted_index.with | 52 |
| abstract_inverted_index.(QFT) | 6 |
| abstract_inverted_index.These | 72 |
| abstract_inverted_index.cases | 128 |
| abstract_inverted_index.field | 4 |
| abstract_inverted_index.gauge | 36, 48, 61, 75, 105 |
| abstract_inverted_index.limit | 67, 90 |
| abstract_inverted_index.other | 44 |
| abstract_inverted_index.prove | 134 |
| abstract_inverted_index.rule. | 19 |
| abstract_inverted_index.there | 42 |
| abstract_inverted_index.these | 26, 93, 108 |
| abstract_inverted_index.types | 45 |
| abstract_inverted_index.which | 156 |
| abstract_inverted_index.Moving | 85 |
| abstract_inverted_index.always | 91 |
| abstract_inverted_index.appear | 77 |
| abstract_inverted_index.breaks | 92 |
| abstract_inverted_index.cases, | 22 |
| abstract_inverted_index.fusion | 18 |
| abstract_inverted_index.gauged | 23 |
| abstract_inverted_index.groups | 13 |
| abstract_inverted_index.states | 140, 155 |
| abstract_inverted_index.theory | 5 |
| abstract_inverted_index.towers | 138 |
| abstract_inverted_index.Gravity | 165 |
| abstract_inverted_index.broken, | 117 |
| abstract_inverted_index.certain | 127 |
| abstract_inverted_index.emerges | 64 |
| abstract_inverted_index.explain | 149 |
| abstract_inverted_index.general | 17 |
| abstract_inverted_index.gravity | 53 |
| abstract_inverted_index.product | 10 |
| abstract_inverted_index.quantum | 3 |
| abstract_inverted_index.related | 141 |
| abstract_inverted_index.stringy | 73, 109 |
| abstract_inverted_index.AdS/CFT. | 114 |
| abstract_inverted_index.Although | 115 |
| abstract_inverted_index.Distance | 144 |
| abstract_inverted_index.examples | 80 |
| abstract_inverted_index.familiar | 9 |
| abstract_inverted_index.realized | 112 |
| abstract_inverted_index.regarded | 30 |
| abstract_inverted_index.slightly | 153 |
| abstract_inverted_index.standard | 79 |
| abstract_inverted_index.strings. | 71 |
| abstract_inverted_index.symmetry | 62 |
| abstract_inverted_index.theories | 51 |
| abstract_inverted_index.versions | 24 |
| abstract_inverted_index.Swampland | 124 |
| abstract_inverted_index.existence | 136, 151 |
| abstract_inverted_index.sometimes | 148 |
| abstract_inverted_index.generalize | 7 |
| abstract_inverted_index.invertible | 35 |
| abstract_inverted_index.orbifolds. | 84 |
| abstract_inverted_index.sublattice | 163 |
| abstract_inverted_index.symmetries | 1, 27, 76, 106, 120 |
| abstract_inverted_index.Conjecture, | 145 |
| abstract_inverted_index.Conjecture. | 166 |
| abstract_inverted_index.approximate | 118 |
| abstract_inverted_index.generically | 116 |
| abstract_inverted_index.non-abelian | 83 |
| abstract_inverted_index.symmetries. | 37, 94 |
| abstract_inverted_index.symmetries? | 49 |
| abstract_inverted_index.tensionless | 70, 89 |
| abstract_inverted_index.constraints: | 125 |
| abstract_inverted_index.conventional | 101 |
| abstract_inverted_index.descriptions | 33 |
| abstract_inverted_index.fundamental, | 69 |
| abstract_inverted_index.implications | 122 |
| abstract_inverted_index.sub-extremal | 154 |
| abstract_inverted_index.Non-invertible | 0 |
| abstract_inverted_index.non-invertible | 47, 60, 74, 104, 119 |
| abstract_inverted_index.generalizations | 110 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 6 |
| citation_normalized_percentile |