The Konishi multiplet at strong coupling

TL;DR

This paper develops a first-principles method to calculate the anomalous dimensions of short operators in N=4 super Yang-Mills theory at strong coupling, focusing on the Konishi multiplet using superstring theory techniques.

Contribution

It introduces a novel approach to compute anomalous dimensions at strong coupling via superstring vertex operators in AdS, specifically for the Konishi multiplet.

Findings

Computed the one-loop correction to the Konishi anomalous dimension at strong coupling.

Established a framework using pure spinor formalism for superstring calculations in AdS.

Provided insights into the spectrum of operators in N=4 super Yang-Mills at strong coupling.

Abstract

We introduce a method to compute from first principles the anomalous dimension of short operators in N=4 super Yang-Mills theory at strong coupling, where they are described in terms of superstring vertex operators in an anti-de Sitter background. We focus on the Konishi multiplet, dual to the first massive level of the superstring, and compute the one-loop correction to its anomalous dimension at strong coupling, using the pure spinor formalism for the superstring.