216 citations · 459 across the 8 of their papers we have counts for
8 papers
Extensions of a commuting pair of quantum toroidal
B. Feigin, M. Jimbo, E. Mukhin
We introduce a family of algebras , , as an extension of a pair of commuting quantum toroidal subalgebras $\mathcal{E}_1,\che…
Affinization of shifted quantum affine
B. Feigin, M. Jimbo, E. Mukhin
We give a realization of quantum toroidal algebra associated to which can be viewed as an affinization of the Drinfeld new realization of quantum…
Remarks on -difference opers arising from quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal algebra on relaxed Verma modules, and -hypergeometric…
Extensions of deformed -algebras via -characters
B. Feigin, M. Jimbo, E. Mukhin
We use combinatorics of -characters to study extensions of deformed -algebras. We describe additional currents and part of the relations in the cases of …
Logarithmic extensions of minimal models: characters and modular transformations
BL Feigin, AM Gainutdinov, AM Semikhatov +1
We study logarithmic conformal field models that extend the (p,q) Virasoro minimal models. For coprime positive integers and , the model is defined as the kernel of the two…
Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
BL Feigin, AM Gainutdinov, AM Semikhatov +1
The SL(2,Z) representation on the center of the restricted quantum group U_{q}sl(2) at the primitive 2p-th root of unity is shown to be equivalent to the SL(2,Z) representation…