We consider generalized Gaudin models in an external magnetic field corresponding to Lie algebras g=gl(n), sp(2m), so(2m) and non-skew-symmetric classical r-matrices with spectral parameters associated with certain Z2-gradings of the Lie algebras g. Using the connection of this type of the generalized Gaudin models with reflection equation algebras we find the spectrum of the generalized Gaudin hamiltonians and the corresponding Bethe-type equations.
Skrypnyk, T. (2013). "Z2-graded" Gaudin models and analytical Bethe ansatz. NUCLEAR PHYSICS. B, 870(3), 495-529 [10.1016/j.nuclphysb.2013.01.013].
"Z2-graded" Gaudin models and analytical Bethe ansatz
Skrypnyk, T
2013
Abstract
We consider generalized Gaudin models in an external magnetic field corresponding to Lie algebras g=gl(n), sp(2m), so(2m) and non-skew-symmetric classical r-matrices with spectral parameters associated with certain Z2-gradings of the Lie algebras g. Using the connection of this type of the generalized Gaudin models with reflection equation algebras we find the spectrum of the generalized Gaudin hamiltonians and the corresponding Bethe-type equations.
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