Flat space spinning massive amplitudes from momentum space CFT

• DOI: 10.1007/jhep08(2024)226
• Publication Date: 2024-08-30T11:03:18Z
• Authors: Raffaele Marotta; Kostas Skenderis; Mritunjay Verma
• Keywords: High Energy Physics - Theory; FOS: Physical sciences; QC770-798; AdS-CFT Correspondence; 530; 01 natural sciences; Scale and Conformal Symmetries; High Energy Physics - Theory (hep-th); Gauge Symmetry; Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Scattering Amplitudes

A bstract We discuss the flat space limit of AdS using momentum representation CFT correlators. The involves sending radius and dimensions operators dual to massive fields infinity while also scaling appropriately sources operators. In this limit, d -dimensional correlators become ( + 1)-dimensional scattering amplitudes. exemplify our discussion with computation flat-space 3-point function a conserved current, non-conserved charged vector operator its conjugate. should yield amplitude an Abelian gauge field two fields. This computes electromagnetic form factors current in spin-1 state, these encode properties (charge, magnetic moment quadruple moment). terms CFT, amounts zooming infrared region triple-K integrals that determine function, order (some of) Bessel functions feature integrals. integral becomes proportional energy-preserving delta correctly yields corresponding complete detail.