Six-loop Konishi anomalous dimension from the Y-system

TL;DR

This paper calculates the six-loop Konishi anomalous dimension using a set of functional equations, demonstrating a recursive method that can be extended to higher loops despite computational complexity.

Contribution

It introduces a recursive computational approach for the Konishi anomalous dimension up to six loops based on recent functional equations.

Findings

Successfully computed six-loop anomalous dimension

Demonstrated recursive extension potential to higher loops

Addressed computational complexity challenges

Abstract

We compute the Konishi anomalous dimension perturbatively up to six loop using the finite set of functional equations derived recently by Gromov, Kazakov, Leurent and Volin. The recursive procedure can be in principle extended to higher loops, the only obstacle being the complexity of the computation.