Gaudin models for gl(m|n)
arXiv:1404.3526 · doi:10.1063/1.4919652
Abstract
We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the Bethe ansatz in the case of tensor products of fundamental representations.
36 pages, latex
References in corpus (9)
- Gaudin Model, Bethe Ansatz and Critical Level
- Quasiclassical asymptotics of solutions to the KZ equations
- Gaudin models with irregular singularities
- Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of Knizhnik-Zamolodchikov Equations
- Nested Bethe ansatz for "all" closed spin chains
- Opers with irregular singularity and spectra of the shift of argument subalgebra
- Bethe eigenvectors of higher transfer matrices
- The MacMahon Master Theorem for right quantum superalgebras and higher Sugawara operators for
- Remarks on critical points of phase functions and norms of Bethe vectors
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- Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
- On the Gaudin model associated to Lie algebras of classical types
- Completeness of Bethe ansatz for Gaudin models associated with gl(1|1)
- The solutions of Bethe ansatz equation and rational pseudodifferential operators
- On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
- Gaudin Hamiltonians on unitarizable modules over classical Lie (super)algebras
- Populations of Solutions to Cyclotomic Bethe Equations
- Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries
- Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras
- Superopers revisited