218 citations · 793 across the 59 of their papers we have counts for
61 papers
Frobenius-like structure in Gaudin model
Evgeny Mukhin, Alexander Varchenko
We introduce a Frobenius-like structure for the Gaudin model. Namely, we introduce potential functions of the first and second kind. We describe the Shapovalov form i…
Representations of quantum toroidal superalgebras and plane -partitions
Luan Bezerra, Evgeny Mukhin
We construct Fock and MacMahon modules for the quantum toroidal superalgebra associated with the Lie superalgebra and parity $\mathbf…
Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
Kang Lu, Evgeny Mukhin
We study solutions of the Bethe ansatz equations associated to the orthosymplectic Lie superalgebras and . Given a solution, we d…
Combinatorics of vertex operators and deformed -algebra of type D
B. Feigin, M. Jimbo, E. Mukhin
We consider sets of screening operators with fermionic screening currents. We study sums of vertex operators which formally commute with the screening operators assuming that each…
Jacobi-Trudi identity and Drinfeld functor for super Yangian
Kang Lu, Evgeny Mukhin
We show that the quantum Berezinian which gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian c…
Deformations of algebras via quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin +1
The deformed algebras of type have a uniform description in terms of the quantum toroidal algebra . We introduce a comodule…