Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.13774 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913208778883072 |
|---|---|
| author | Soglohu, Fred Osei, Prince K. Osumanu, Abdulmajid |
| author_facet | Soglohu, Fred Osei, Prince K. Osumanu, Abdulmajid |
| contents | In this work, we provide a rigorous definition of ribbon operators in the Semidual Kitaev lattice model and study their properties. These operators are essential for understanding quasi-particle excitations within topologically ordered systems. We show that the ribbon operators generate quasi-particle excitations at the ends of the ribbon and reveal themselves as irreducible representations of the Bicrossproduct quantum group $M(H)=H^{\text{cop}}\lrbicross H$ or $M(H)^{\text{op}}$ depending on their chirality or local orientation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ribbon operators in the Semidual lattice code model Soglohu, Fred Osei, Prince K. Osumanu, Abdulmajid Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics In this work, we provide a rigorous definition of ribbon operators in the Semidual Kitaev lattice model and study their properties. These operators are essential for understanding quasi-particle excitations within topologically ordered systems. We show that the ribbon operators generate quasi-particle excitations at the ends of the ribbon and reveal themselves as irreducible representations of the Bicrossproduct quantum group $M(H)=H^{\text{cop}}\lrbicross H$ or $M(H)^{\text{op}}$ depending on their chirality or local orientation. |
| title | Ribbon operators in the Semidual lattice code model |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.13774 |