On the Fate of Stringy Non-Invertible Symmetries

التفاصيل البيبلوغرافية
العنوان: On the Fate of Stringy Non-Invertible Symmetries
المؤلفون: Heckman, Jonathan J., McNamara, Jacob, Montero, Miguel, Sharon, Adar, Vafa, Cumrun, Valenzuela, Irene
سنة النشر: 2024
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: 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.
Comment: 56 pages, 11 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.00118
رقم الأكسشن: edsarx.2402.00118
قاعدة البيانات: arXiv