Seminar: Oleg Antipin (Ruđer Bošković Institute)

Title: Untangling scaling dimensions of fixed charge operators in a CFT

Abstract: I will start with a brief pedagogic review of the semiclassical method for determining the scaling dimensions of fixed-charge operators in conformal field theory (CFT) with global symmetries and then introduce a general strategy to determine the relation between a given charge configuration and the associated operators for a given global symmetry group. I will demonstrate how, by varying the charge configuration, it is possible to access anomalous dimensions of different operators transforming according to a variety of irreducible representations of the given non-abelian symmetry group without the aid of diagrammatical computations. I will illustrate the computational strategy by determining the anomalous dimensions of several composite operators to the NLO in the semiclassical expansion for the U(M)xU(N) CFT in 4−ϵ dimensions.

Download the slides here: https://pandora.infn.it/public/20210304-slides-antipin