English

Simply-laced quantum connections generalising KZ

Quantum Algebra 2022-08-09 v4 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We construct a new family of flat connections generalising the KZ connection, the Casimir connection and the dynamical connection. These new connections are attached to simply-laced graphs, and are obtained via quantisation of time-dependent Hamiltonian systems controlling the isomonodromic deformations of meromorphic connections on the sphere.

Keywords

Cite

@article{arxiv.1704.08616,
  title  = {Simply-laced quantum connections generalising KZ},
  author = {Gabriele Rembado},
  journal= {arXiv preprint arXiv:1704.08616},
  year   = {2022}
}

Comments

53 pages, 13 figures; better TeX and bibliography, corrected a reference in the introduction. Comments welcome

R2 v1 2026-06-22T19:29:53.613Z