On finite group global and gauged $q$-form symmetries in TQFT
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914707578814464 |
|---|---|
| author | Furlan, Manuel Putrov, Pavel |
| author_facet | Furlan, Manuel Putrov, Pavel |
| contents | We describe a method to implement finite group global and gauged $q$-form symmetries into the axiomatic structure of $d$-dimensional Topological Quantum Field Theory (TQFT) in terms of bordisms decorated by cohomology classes. Namely, on a manifold with a boundary, the gauge field is considered as a class in an appropriate relative cohomology group. It is defined in a way that allows self-consistent cutting and gluing of the manifolds and involves a choice of a $(d-q-2)$-skeleton in the boundary. The method, in a sense, generalizes to arbitrary $d$ and $q$ a method that has been considered in the literature in the case of $d=3,\;q=0,1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On finite group global and gauged $q$-form symmetries in TQFT Furlan, Manuel Putrov, Pavel Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory Algebraic Topology Geometric Topology We describe a method to implement finite group global and gauged $q$-form symmetries into the axiomatic structure of $d$-dimensional Topological Quantum Field Theory (TQFT) in terms of bordisms decorated by cohomology classes. Namely, on a manifold with a boundary, the gauge field is considered as a class in an appropriate relative cohomology group. It is defined in a way that allows self-consistent cutting and gluing of the manifolds and involves a choice of a $(d-q-2)$-skeleton in the boundary. The method, in a sense, generalizes to arbitrary $d$ and $q$ a method that has been considered in the literature in the case of $d=3,\;q=0,1$. |
| title | On finite group global and gauged $q$-form symmetries in TQFT |
| topic | Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2403.04677 |