On the Fate of Stringy Non-Invertible Symmetries
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910313651109888 |
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| author | Heckman, Jonathan J. McNamara, Jacob Montero, Miguel Sharon, Adar Vafa, Cumrun Valenzuela, Irene |
| author_facet | Heckman, Jonathan J. McNamara, Jacob Montero, Miguel Sharon, Adar Vafa, Cumrun Valenzuela, Irene |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_00118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Fate of Stringy Non-Invertible Symmetries Heckman, Jonathan J. McNamara, Jacob Montero, Miguel Sharon, Adar Vafa, Cumrun Valenzuela, Irene High Energy Physics - Theory 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. |
| title | On the Fate of Stringy Non-Invertible Symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.00118 |