تقرير
Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs
| العنوان: | Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs |
|---|---|
| المؤلفون: | Geer, Nathan, Lauda, Aaron D., Patureau-Mirand, Bertrand, Sussan, Joshua |
| المصدر: | Annals of Physics, Volume 442, pg 168937, 2022 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, Mathematics - Geometric Topology, Mathematics - Quantum Algebra, Quantum Physics |
| الوصف: | We construct large classes of exactly solvable pseudo-Hermitian 2D spin Hamiltonians. The ground states of these systems depend only on the spatial topology of the system. We identify the ground state system on a surface with the value assigned to the surface by a non-semisimple TQFT generalizing the Turaev-Viro model. A non-trivial example arises from a non-semisimple subcategory of representations of quantum sl(2) where the quantum parameter is specialized to a root of unity. Comment: 21 pages, tikz diagrams, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.aop.2022.168937 |
| URL الوصول: | http://arxiv.org/abs/2108.10798 |
| رقم الأكسشن: | edsarx.2108.10798 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.aop.2022.168937 |
|---|