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- University of North Carolina at Chapel HillUS7 papers
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12 papers · 1 filter
Spaces of quasi-exponentials and representations of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
We consider the action of the Bethe algebra B_K on (\otimes_{s=1}^k L_{λ^{(s)}})_λ, the weight subspace of weight of the tensor product of k polynomial irreducible gl_N-modules…
Bethe eigenvectors of higher transfer matrices
E. Mukhin, V. Tarasov, A. Varchenko
We consider the XXX-type and Gaudin quantum integrable models associated with the Lie algebra . The models are defined on a tensor product irreducible -modules. For eac…
Quasi-polynomials and the Bethe Ansatz
E Mukhin, A Varchenko
We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensiona…
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…
Sets of rigged paths with Virasoro characters
B. Feigin, M. Jimbo, T. Miwa +2
Let \{M_{r,s}\}_{0< r < p, 0< s < p'} be the irreducible Virasoro modules in the -minimal series. In our previous paper, we have constructed a monomial basis of \oplus_{r=1…
Norm of a Bethe Vector and the Hessian of the Master Function
Evgeny Mukhin, Alexander Varchenko
We show that the Bethe vectors are non-zero vectors in the sl_{r+1} Gaudin model. Moreover, we show that the norm of a Bethe vector is equal to the Hessian of the corresponding mas…