Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.04346 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915327028232192 |
|---|---|
| author | Bah, Ibrahima Leung, Enoch Waddleton, Thomas |
| author_facet | Bah, Ibrahima Leung, Enoch Waddleton, Thomas |
| contents | We study the structure of topological defects for finite Abelian symmetries in quantum field theories, and argue on physical grounds that they satisfy the definition of a higher fusion category proposed by Johnson-Freyd. Our primary focus is on the requirement of Karoubi completeness, i.e. the factorization conditions on higher condensation defects. We demonstrate this on a tree of such defects, constructed by successive higher gauging, explicitly using Lagrangian techniques in a concrete four-dimensional example, before turning to more general field theories. Along the way we also comment on the phenomenon where decoupled topological field theories appear as fusion coefficients. We further discuss the categorical role of anomalies, and how they may affect the properties of (higher) condensation defects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Physics of Higher Condensation Defects Bah, Ibrahima Leung, Enoch Waddleton, Thomas High Energy Physics - Theory Mathematical Physics We study the structure of topological defects for finite Abelian symmetries in quantum field theories, and argue on physical grounds that they satisfy the definition of a higher fusion category proposed by Johnson-Freyd. Our primary focus is on the requirement of Karoubi completeness, i.e. the factorization conditions on higher condensation defects. We demonstrate this on a tree of such defects, constructed by successive higher gauging, explicitly using Lagrangian techniques in a concrete four-dimensional example, before turning to more general field theories. Along the way we also comment on the phenomenon where decoupled topological field theories appear as fusion coefficients. We further discuss the categorical role of anomalies, and how they may affect the properties of (higher) condensation defects. |
| title | On the Physics of Higher Condensation Defects |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2506.04346 |