Boundary Bethe ansatz in massless AdS3
High Energy Physics - Theory
2024-12-02 v2
Abstract
We construct the boundary algebraic Bethe Ansatz for the AdS3 X S3 X T4 integrable reflection problem restricted to the massless sector. We derive the double-row monodromy and find the appropriate formulation of the dual equation of Sklyanin's. We perform the algebraic Bethe ansatz and obtain the RTT (more properly the RTRT) relations, from which the spectrum is obtained by repeated action of the B operator on the pseudovacuum. We obtain the Bethe equations by cancelling the unwanted terms, and prove the exact formulae for any number of quantum particles and magnonic excitations.
Cite
@article{arxiv.2408.15674,
title = {Boundary Bethe ansatz in massless AdS3},
author = {Daniele Bielli and Vasileios Moustakis and Alessandro Torrielli},
journal= {arXiv preprint arXiv:2408.15674},
year = {2024}
}
Comments
28 pages, LaTeX; v2: added details and proofs following referee report