English

Nested Algebraic Bethe Ansatz in integrable models: recent results

Mathematical Physics 2019-07-02 v2 High Energy Physics - Theory math.MP

Abstract

This short note summarizes the works done in collaboration between S. Belliard (CEA, Saclay), L. Frappat (LAPTh, Annecy), S. Pakuliak (JINR, Dubna), E. Ragoucy (LAPTh, Annecy), N. Slavnov (Steklov Math. Inst., Moscow) and more recently A. Hutsalyuk (Wuppertal / Moscow) and A. Liashyk (Kiev / Moscow). It presents the construction of Bethe vectors, their scalar products and the form factors of local operator for integrable models based on the (super)algebras glngl_n, glmpgl_{m|p} or their quantum deformations. It corresponds to two talks given by E.R. and N.S. at \textsl{Correlation functions of quantum integrable systems and beyond}, in honor of Jean-Michel Maillet for his 60's (ENS Lyon, October 2017).

Keywords

Cite

@article{arxiv.1803.00103,
  title  = {Nested Algebraic Bethe Ansatz in integrable models: recent results},
  author = {Stanislav Pakuliak and Eric Ragoucy and Nikita Slavnov},
  journal= {arXiv preprint arXiv:1803.00103},
  year   = {2019}
}

Comments

22 pages, submitted to SciPost Phys

R2 v1 2026-06-23T00:37:27.642Z