Creation operators and Bethe vectors of the osp(1|2) Gaudin model
P. P. Kulish, N. Manojlovic
Abstract
Gaudin model based on the orthosymplectic Lie superalgebra osp(1|2) is studied. The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are constructed by algebraic Bethe Ansatz. Corresponding creation operators are defined by a recurrence relation. Furthermore, explicit solution to this recurrence relation is found. The action of the creation operators on the lowest spin vector yields Bethe vectors of the model. The relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation of the corresponding super-conformal field theory is established.
Create a lesson
Related papers
Integrability of the deformed Toda systems
Mikhail Vasilev
An integrable Z22-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure
N. Aizawa, Ichi Fujii, Ren Ito et al.
Maxwell's relations as Hamilton's equations: a symplectic and variational framework
Sikarin Yoo-Kong
The Nakamura Conjecture Revisited: Toda Molecules and Stationary Axisymmetric Gravity
Takeshi Fukuyama
Multivariable Painleve'-II equation: connection formulas for arbitrary system size
Nikolai A. Sinitsyn
Vector rogue wave patterns associated with generalized Hermite and Okamoto polynomials
Hejiaqi Chen, Dongwei Wu, Chengfa Wu et al.