Wrapping effects in supersymmetric gauge theories

TL;DR

This paper investigates wrapping effects in supersymmetric gauge theories, computing finite-size corrections to anomalous dimensions in N=4 and beta-deformed theories up to eleven loops, and explores implications for AdS/CFT correspondence.

Contribution

It provides explicit high-loop order calculations of wrapping effects in supersymmetric gauge theories, including novel results in beta-deformed cases and open string operators.

Findings

Four-loop anomalous dimension of Konishi operator computed.

Leading finite-size effects in beta-deformed theories calculated up to eleven loops.

Finite-size effects on operators dual to open strings analyzed.

Abstract

Several 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 beta-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.