Wrapping effects in supersymmetric gauge theories

Abstract

AbstractSeveral perturbative computations of finite‐size effects, performed on the gauge side of the AdS/CFT correspondence by means of superspace techniques, are presented. First, wrapping effects are analyzed in the standard 𝒩 = 4 theory, by means of the calculation of the four‐loop anomalous dimension of the Konishi operator. Then, a similar computation at five loops is described. Afterwards, finite‐size effects are studied in the β‐deformed case, where thanks to the reduced number of supersymmetries the simpler class of single‐impurity operators can be considered, so that the leading corrections to the anomalous dimensions at generic order can be reduced to the computation of a class of integrals. Explicit results are given up to eleven loops. A further chapter is dedicated to the computation of the leading finite‐size effects on operators dual to open strings. In the end, some comments are made and proposals for future developments are discussed.