Exceptional Operators in N=4 super Yang-Mills

TL;DR

This paper studies a special class of operators in N=4 super Yang-Mills theory, showing their one-loop rapidities are exact and proposing a mirror TBA description validated by multiple checks.

Contribution

It introduces a novel class of operators with exact one-loop rapidities and develops a mirror TBA framework for their analysis.

Findings

One-loop rapidities are exact for these operators.

Proposed mirror TBA description passes multiple consistency checks.

Enhances understanding of integrability in N=4 super Yang-Mills.

Abstract

We consider one particularly interesting class of composite gauge-invariant operators in N=4 super Yang-Mills theory. An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the one-loop rapidities of the constituent magnons are shown to be exact in the 't Hooft coupling constant. This is used to propose the mirror TBA description for these operators. The proposal is shown to pass several non-trivial checks.