تقرير
Non-Invertible Duality Interfaces in Field Theories with Exotic Symmetries
| العنوان: | Non-Invertible Duality Interfaces in Field Theories with Exotic Symmetries |
|---|---|
| المؤلفون: | Spieler, Ryan C. |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries that govern theories with fractons and non-invertible symmetries, which do not fuse according to a group law. Only recently has the interplay between these two been examined. In this paper, we provide further examples of the interplay in the XY plaquette model, XY cube model, 1+1 d theory with global dipole symmetry, and the 2+1 d Lifshitz theory. They are analogs of the duality symmetries in 2d CTFs and are constructed by first gauging a finite subgroup of the momentum symmetry on half of spacetime and then performing a duality transformation. We analyze the fusion rules of the symmetries and find that they are condensation defects from an analog of higher gauging exotic symmetries. We also address their dependence on the UV cutoff when relevant. Comment: Typos corrected and references added. Up to obvious typesetting differences, this matches the version to appear in JHEP |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.14944 |
| رقم الأكسشن: | edsarx.2402.14944 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |