English

$QQ$-systems and tropical geometry

Algebraic Geometry 2025-04-24 v2 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra Representation Theory

Abstract

We investigate the system of polynomial equations, known as QQQQ-systems, which are closely related to the so-called Bethe ansatz equations of the XXZ spin chain, using the methods of tropical geometry.

Cite

@article{arxiv.2504.11260,
  title  = {$QQ$-systems and tropical geometry},
  author = {Rahul Singh and Anton M. Zeitlin},
  journal= {arXiv preprint arXiv:2504.11260},
  year   = {2025}
}

Comments

22 pages

R2 v1 2026-06-28T22:59:13.534Z