Conformal mapping of non-Lorentzian geometries in SU(1, 2) Conformal Field Theory
Abstract 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) × U(1) conformal symmetry. The state picture arises from null reducing four-dimensional relativistic conformal field theories on a t...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)100 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Abstract 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) × 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. [1], 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. |
|---|---|
| ISSN: | 1029-8479 |