Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM

TL;DR

This paper reviews superspace methods for calculating wrapping effects in N=4 super Yang-Mills theory, providing explicit multi-loop results and finite-size corrections for deformed cases using N=1 superspace techniques.

Contribution

It introduces a systematic superspace approach to compute wrapping effects, including explicit high-loop results and finite-size corrections in deformed theories.

Findings

Explicit four- and five-loop results for two-impurity operators in undeformed theory

General finite-size correction expression for single-impurity operators in beta-deformed theory

Methodology applicable to both standard and deformed N=4 SYM

Abstract

We review the general procedure for the field-theoretical computation of wrapping effects in standard and beta-deformed N=4 super Yang-Mills by means of N=1 superspace techniques. In the undeformed theory, these methods allowed to find explicit results at four and five loops for two-impurity operators. In the deformed case, a general expression for the finite-size correction to the anomalous dimension of single-impurity operators at the critical order was obtained.