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math.QA2009★ 6 cited
Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps
E. Mukhin, V. Tarasov, A. Varchenko
We consider the gl_N Gaudin model of a tensor power of the standard vector representation. The geometric Langlands correspondence in the Gaudin model relates the Bethe algebra of t…
math.QA2009★ 1 cited
Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra
E. Mukhin, V. Tarasov, A. Varchenko
We identify the Bethe algebra of the Gaudin model associated to gl(N) acting on a suitable representation with the center of the rational Cherednik algebra and with the algebra of…
math.QA2009★ 20 cited
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
We show that the Gaudin Hamiltonians H_1,...,H_n generate the Bethe algebra of the n-fold tensor power of the vector representation of gl_N. Surprisingly the formula for the genera…