Symmetries in Celestial CFT$_d$ - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2023

Symmetries in Celestial CFT$_d$

Résumé

We use tools from conformal representation theory to classify the symmetries associated to conformally soft operators in celestial CFT (CCFT) in general dimensions $d$. The conformal multiplets in $d>2$ take the form of celestial necklaces whose structure is much richer than the celestial diamonds in $d=2$, it depends on whether $d$ is even or odd and involves mixed-symmetric tensor representations of $SO(d)$. The existence of primary descendants in CCFT multiplets corresponds to (higher derivative) conservation equations for conformally soft operators. We lay out a unified method for constructing the conserved charges associated to operators with primary descendants. In contrast to the infinite local symmetry enhancement in CCFT${}_2$, we find the soft symmetries in CCFT${}_{d>2}$ to be finite-dimensional. The conserved charges that follow directly from soft theorems are trivial in $d>2$, while non-trivial charges associated to (generalized) currents and stress tensor are obtained from the shadow transform of soft operators which we relate to (an analytic continuation of) a specific type of primary descendants. We aim at a pedagogical discussion synthesizing various results in the literature.

Dates et versions

hal-04017321 , version 1 (07-03-2023)

Identifiants

Citer

Yorgo Pano, Andrea Puhm, Emilio Trevisani. Symmetries in Celestial CFT$_d$. Journal of High Energy Physics, 2023, 07, pp.076. ⟨10.1007/JHEP07(2023)076⟩. ⟨hal-04017321⟩
22 Consultations
0 Téléchargements

Altmetric

Partager

More