Momentum space CFT correlators of non-conserved spinning operators

• DOI: 10.1007/jhep03(2023)196
• Publication Date: 2023-03-28T03:35:35Z
• Authors: Raffaele Marotta; Kostas Skenderis; Mritunjay Verma
• Keywords: Higher Spin Symmetry; High Energy Physics - Theory; 500; FOS: Physical sciences; QC770-798; AdS-CFT Correspondence; 530; 01 natural sciences; Scale and Conformal Symmetries; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences

Abstract We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin s non-conserved operators and a spin 1 conserved current. We give explicit expressions for the 3-point function when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. We also systematically analyse the divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide.