Geodesic
Jordanian deformation of the~open $s\ell(2)$ Gaudin model
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 90-101

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We derive a deformed $s\ell(2)$ Gaudin model with integrable boundaries. Starting from the Jordanian deformation of the $SL(2)$-invariant Yang $R$-matrix and generic solutions of the associated reflection equation and the dual reflection equation, we obtain the corresponding inhomogeneous spin-$1/2$ XXX chain. The semiclassical expansion of the transfer matrix yields the deformed $s\ell(2)$ Gaudin Hamiltonians with boundary terms.
Keywords: exactly solvable model, Gaudin model. 
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     author = {N. Cirilo Antonio and N. Manoilovich and Z. Nagy},
     title = {Jordanian deformation of the~open $s\ell(2)$ {Gaudin} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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N. Cirilo Antonio; N. Manoilovich; Z. Nagy. Jordanian deformation of the~open $s\ell(2)$ Gaudin model. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 90-101. http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a5/