Integrating positive energy representations of the Virasoro algebra
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909645186007040 |
|---|---|
| author | Henriques, André G. Tener, James E. |
| author_facet | Henriques, André G. Tener, James E. |
| contents | We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators on the Hilbert space completion of W. We use this to show that every representation of the Virasoro conformal net also carries a representation of the semigroup of annuli of the same kind. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrating positive energy representations of the Virasoro algebra Henriques, André G. Tener, James E. Functional Analysis Mathematical Physics Representation Theory 17B68 20C35 20M30 We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators on the Hilbert space completion of W. We use this to show that every representation of the Virasoro conformal net also carries a representation of the semigroup of annuli of the same kind. |
| title | Integrating positive energy representations of the Virasoro algebra |
| topic | Functional Analysis Mathematical Physics Representation Theory 17B68 20C35 20M30 |
| url | https://arxiv.org/abs/2506.08684 |