On Wronskians and $qq$-systems
Algebraic Geometry
2026-01-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
Abstract
We discuss the -systems, the functional form of the Bethe ansatz equations for the twisted Gaudin model from a new geometric point of view. We use a concept of -Wronskians, which are certain meromorphic sections of principal -bundles on the projective line. In this context, the -system, similar to its difference analog, is realized as the relation between generalized minors of the -Wronskian. We explain the link between -Wronskians and twisted -oper connections, which are the traditional source for the -systems.
Cite
@article{arxiv.2208.08018,
title = {On Wronskians and $qq$-systems},
author = {Anton M. Zeitlin},
journal= {arXiv preprint arXiv:2208.08018},
year = {2026}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:2112.02711, arXiv:2108.04184