Séminaire de Physique Théorique

Constraining three and four point functions in CFT’s in d > 2 dimensions

par Dr Claudio Corianó (Università del Salento, Italie)

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Salle 1180 (Bât E2) (IDP, Tours)

Salle 1180 (Bât E2)

IDP, Tours

Institut Denis Poisson Université de Tours Facultés des Sciences et Techniques Parc de Grandmont 37200 Tours
Description

We discuss general aspects of CFT’s in d> 2 dimensions and the solution of the conformal constraints (conformal Ward identities) for 3-point scalar and tensor correlators in momentum space.  This allows us to investigate the role of the conformal anomaly in great generality. The matching of a general CFT to free-field theory realizations allows us to simplify drastically the solution of the conformal Ward identities and the structure of such tensor correlators. We then turn to 4-point functions, showing the existence of solutions of such identities in the presence of a conformal/dual conformal symmetry.  Some phenomenological implications of CFT in physics beyond the Standard Model will also be briefly outlined.