A Universality Test of the Quantum String Bethe Ansatz

TL;DR

This paper verifies that the quantum string Bethe ansatz accurately captures non-analytical corrections in string theory and uses it to predict these corrections for general three-spin strings.

Contribution

It demonstrates the universality of the quantum corrected string Bethe ansatz and extends its application to generic three-spin string configurations.

Findings

Successfully reproduces known non-analytical terms for specific strings

Predicts the form of non-analytical terms for general three-spin strings

Validates the universality of the quantum string Bethe ansatz

Abstract

We show that the quantum corrected string Bethe ansatz passes an important universality test by demonstrating that it correctly incorporates the non-analytical terms in the string sigma model one-loop correction for rational three-spin strings with two out of the three spins identical. Subsequently, we use the quantum corrected string Bethe ansatz to predict the exact form of the non-analytic terms for the generic rational three-spin string.