Causally Disjoint Discs: Another $\mathbb{E}_n$-operad
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866909015039016960 |
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| author | Grady, Ryan |
| author_facet | Grady, Ryan |
| contents | Motivated by (perturbative) quantum observables in Lorentzian signature we define a new operad: the operad of causally disjoint disks. In order to describe this operad we use the orthogonal categories of Benini, Schenkel, and Woike and the prefactorization functor of Benini, Carmona, Grant-Stuart, and Schenkel. Along the way we extend these constructions to the topological setting, i.e., (multi-)categories enriched over spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20333 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Causally Disjoint Discs: Another $\mathbb{E}_n$-operad Grady, Ryan Quantum Algebra Mathematical Physics Algebraic Topology Motivated by (perturbative) quantum observables in Lorentzian signature we define a new operad: the operad of causally disjoint disks. In order to describe this operad we use the orthogonal categories of Benini, Schenkel, and Woike and the prefactorization functor of Benini, Carmona, Grant-Stuart, and Schenkel. Along the way we extend these constructions to the topological setting, i.e., (multi-)categories enriched over spaces. |
| title | Causally Disjoint Discs: Another $\mathbb{E}_n$-operad |
| topic | Quantum Algebra Mathematical Physics Algebraic Topology |
| url | https://arxiv.org/abs/2412.20333 |