Conformal mapping of non-Lorentzian geometries in SU(1, 2) Conformal Field Theory
A bstract 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.
Authors
- Stefano Baiguera (ORCID: https://orcid.org/0000-0003-3798-9038)
- Troels Harmark (ORCID: https://orcid.org/0000-0002-2795-7035)
- Ziqi Yan (ORCID: https://orcid.org/0000-0002-9434-5397)
- Yang Lei (ORCID: https://orcid.org/0000-0001-6566-1086)
Institutions
- Università Cattolica del Sacro Cuore (IT)
- University of Copenhagen (DK)
- Soochow University (CN)
- Istituto Nazionale di Fisica Nucleare, Sezione di Perugia (IT)
- KTH Royal Institute of Technology (SE)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-03-13
- DOI
- https://doi.org/10.1007/jhep03(2025)100
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Abdus Salam International Centre for Theoretical Physics
- National Natural Science Foundation of China
- Israel Science Foundation
- NordForsk
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- High Energy Physics