Reconstruction of vertex algebras in even higher dimensions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916078971518976 |
|---|---|
| author | Bakalov, Bojko N. Nikolov, Nikolay M. |
| author_facet | Bakalov, Bojko N. Nikolov, Nikolay M. |
| contents | Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension D admits a restriction to a vertex algebra in any lower dimension and, in particular, to dimension one. In the case when D is even, we find natural conditions under which the converse passage is possible. These conditions include a unitary action of the conformal Lie algebra with a positive energy, which is given by local endomorphisms and obeys certain integrability properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_02421 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reconstruction of vertex algebras in even higher dimensions Bakalov, Bojko N. Nikolov, Nikolay M. Mathematical Physics High Energy Physics - Theory Quantum Algebra 17B69 (Primary), 81R10, 81T40 (Secondary) Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension D admits a restriction to a vertex algebra in any lower dimension and, in particular, to dimension one. In the case when D is even, we find natural conditions under which the converse passage is possible. These conditions include a unitary action of the conformal Lie algebra with a positive energy, which is given by local endomorphisms and obeys certain integrability properties. |
| title | Reconstruction of vertex algebras in even higher dimensions |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra 17B69 (Primary), 81R10, 81T40 (Secondary) |
| url | https://arxiv.org/abs/2209.02421 |