40 citations · 74 across the 5 of their papers we have counts for
5 papers
Eigenvalues of Bethe vectors in the Gaudin model
A. I. Molev, E. E. Mukhin
A theorem of Feigin, Frenkel and Reshetikhin provides expressions for the eigenvalues of the higher Gaudin Hamiltonians on the Bethe vectors in terms of elements of the center of t…
KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.
Path description of type B q-characters
E. Mukhin, C. A. S. Young
We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this resu…
The gl_2 Bethe algebra associated with a nilpotent element
E. Mukhin, V. Tarasov, A. Varchenko
To any 2x2-matrix K one assigns a commutative subalgebra B^{K}\subset U(gl_2[t]) called a Bethe algebra. We describe relations between the Bethe algebras, associated with the zero…
Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum
E. Mukhin, V. Tarasov, A. Varchenko
We show that the algebra of commuting Hamiltonians of the homogeneous XXX Heisenberg model has simple spectrum on the subspace of singular vectors of the tensor product of two-dime…