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hep-th2004★ 61 cited
Quantization of the Gaudin System
D. Talalaev
In this article we exploit the known commutative family in Y(gl(n)) - the Bethe subalgebra - and its special limit to construct quantization of the Gaudin integrable system. We giv…
hep-th2004★ 12 cited
Rational Lax operators and their quantization
A. Chervov, L. Rybnikov, D. Talalaev
We investigate the construction of the quantum commuting hamiltonians for the Gaudin integrable model. We prove that [Tr L^k(z), Tr L^m(u) ]=0, for k,m < 4 . However this naive rec…