Bound State Transfer Matrix for AdS5 x S5 Superstring

TL;DR

This paper uses algebraic Bethe ansatz to compute transfer matrix eigenvalues for bound states in AdS5 x S5 superstring, verifying and extending conjectures on the quantum characteristic function.

Contribution

It introduces a method to analyze bound state transfer matrices in AdS5 x S5 superstring, advancing understanding of their spectral properties.

Findings

Eigenvalues of the transfer matrix computed for general bound states

Verification of conjectures on the quantum characteristic function

Extension of these conjectures to broader cases

Abstract

We apply the algebraic Bethe ansatz technique to compute the eigenvalues of the transfer matrix constructed from the general bound state S-matrix of the light-cone AdS5 x S5 superstring. This allows us to verify certain conjectures on the quantum characteristic function, and to extend them to the general case.