par Sleight, Charlotte 
;Taronna, Massimo
Référence Fortschritte der Physik, 66, 8-9, 1800038
Publication Publié, 2018-08
;Taronna, Massimo Référence Fortschritte der Physik, 66, 8-9, 1800038
Publication Publié, 2018-08
Article révisé par les pairs
| Résumé : | We study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, and includes mixed symmetry and (partially)-conserved representations. In a basis of CPWs recently introduced in arXiv:1702.08619, we find a remarkable factorisation of the external spin dependence in their Mellin representation. This property allows a relatively straightforward study of inversion formulae to extract OPE data from the Mellin representation of spinning 4pt correlators and in particular, to extract closed-form expressions for crossing kernels of spinning CPWs in terms of the hypergeometric function 4F3. We consider numerous examples involving both arbitrary internal and external spins, and for both leading and sub-leading twist operators. As an application, working in general d we extract new results for (Formula presented.) anomalous dimensions of double-trace operators induced by double-trace deformations constructed from single-trace operators of generic twist and integer spin. In particular, we extract the anomalous dimensions of double-trace operators (Formula presented.) with (Formula presented.) a single-trace operator of integer spin J. |
