String hypothesis for the AdS_5 x S^5 mirror

TL;DR

This paper analyzes the thermodynamic limit of the mirror theory derived from AdS_5 x S^5 string theory, proposing a string hypothesis and identifying Bethe string configurations similar to those in the Hubbard model.

Contribution

It introduces a string hypothesis for the mirror theory and characterizes Bethe string configurations and bound states in the thermodynamic limit.

Findings

Bethe-Yang solutions form string configurations analogous to the Hubbard model

Derived equations for bound states and Bethe string configurations

Identified the structure of states contributing in the thermodynamic limit

Abstract

We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation. We analyze the Bethe-Yang equations for the mirror theory and formulate the string hypothesis. We show that in the thermodynamic limit solutions of the Bethe-Yang equations arrange themselves into Bethe string configurations similar to the ones appearing in the Hubbard model. We also derive a set of equations describing the bound states and the Bethe string configurations of the mirror theory.