English

Elliptic Gaudin models and elliptic KZ Equations

Exactly Solvable and Integrable Systems 2009-11-07 v2 Condensed Matter High Energy Physics - Theory Mathematical Physics math.MP

Abstract

The Gaudin models based on the face-type elliptic quantum groups and the XYZXYZ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.

Keywords

Cite

@article{arxiv.nlin/0110038,
  title  = {Elliptic Gaudin models and elliptic KZ Equations},
  author = {Mark D. Gould and Yao-Zhong Zhang and Shao-You Zhao},
  journal= {arXiv preprint arXiv:nlin/0110038},
  year   = {2009}
}

Comments

LaTex file 18 pages; Errors corrected and references added

R2 v1 2026-07-22T18:08:42.844Z