Trigonometric osp(1|2) Gaudin model
P. P. Kulish, N. Manojlovic
Abstract
The problems connected with Gaudin models are reviewed by analyzing model related to the trigonometric osp(1|2) classical r-matrix. The eigenvectors of the trigonometric osp(1|2) Gaudin Hamiltonians are found using explicitly constructed creation operators. The commutation relations between the creation operators and the generators of the trigonometric loop superalgebra are calculated. The coordinate representation of the Bethe states is presented. The relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation yields the norm of the eigenvectors. The generalized Knizhnik-Zamolodchikov system is discussed both in the rational and in the trigonometric case.
Create a lesson
Related papers
The integer spectrum of a superintegrable quantum field theory
Marine De Clerck, Oleg Evnin
On a certain system of discrete equations with the Laurent property
Andrei K. Svinin
Rogue waves in the dam-break problem for the Kundu--Eckhaus equation
Jiaming Sun, Zhen Wang, Tianwei Qiu
Ground state and excitations of the \(C2(1)\) spin chain with non-diagonal boundaries
Zhouzheng Ji, Guang-Liang Li, Yi Qiao et al.
Elliptic soliton solutions of lattice eigenfunction equations of the KdV type
Xing Li, Ying Shi, Da-jun Zhang et al.
A Riemann-Hilbert approach to the two-component modified Camassa-Holm system with step-like boundary conditions
Iryna Karpenko, Dmitry Shepelsky, Gerald Teschl