Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913744170254336 |
|---|---|
| author | Baiguera, Stefano Harmark, Troels Lei, Yang Yan, Ziqi |
| author_facet | Baiguera, Stefano Harmark, Troels Lei, Yang Yan, Ziqi |
| contents | We realize an explicit conformal mapping between the state and operator pictures in a class of (2+1)-dimensional non-Lorentzian field theories with SU(1,2)$\times$U(1) conformal symmetry. The state picture arises from null reducing four-dimensional relativistic conformal field theories on a three-sphere, yielding a non-Lorentzian geometry with the conformal Killing symmetry group SU(1,2). This is complementary to the operator picture recently studied by Lambert et al., where the geometry acquires an $Ω$-deformation. We then use the geometric mapping between the two pictures to derive a correspondence between the generators. This provides a concrete realization of the state-operator correspondence in non-Lorentzian conformal field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory Baiguera, Stefano Harmark, Troels Lei, Yang Yan, Ziqi High Energy Physics - Theory We realize an explicit conformal mapping between the state and operator pictures in a class of (2+1)-dimensional non-Lorentzian field theories with SU(1,2)$\times$U(1) conformal symmetry. The state picture arises from null reducing four-dimensional relativistic conformal field theories on a three-sphere, yielding a non-Lorentzian geometry with the conformal Killing symmetry group SU(1,2). This is complementary to the operator picture recently studied by Lambert et al., where the geometry acquires an $Ω$-deformation. We then use the geometric mapping between the two pictures to derive a correspondence between the generators. This provides a concrete realization of the state-operator correspondence in non-Lorentzian conformal field theories. |
| title | Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.11951 |