308 citations · 2.8k across the 59 of their papers we have counts for
58 papers
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…
Evaluation modules for quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
The affine evaluation map is a surjective homomorphism from the quantum toroidal algebra to the quantum affine algebra $U'_q\wid…
CFT approach to the -Painlevé VI equation
M. Jimbo, H. Nagoya, H. Sakai
Iorgov, Lisovyy, and Teschner established a connection between isomonodromic deformation of linear differential equations and Liouville conformal field theory at . In this pap…
Integrals of motion from quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
We identify the Taylor coefficients of the transfer matrices corresponding to quantum toroidal algebras with the elliptic local and non-local integrals of motion introduced by Koji…
Finite type modules and Bethe Ansatz for quantum toroidal gl(1)
B. Feigin, M. Jimbo, T. Miwa +1
We study highest weight representations of the Borel subalgebra of the quantum toroidal gl(1) algebra with finite-dimensional weight spaces. In particular, we develop the q-charact…
Creation operators for the Fateev-Zamolodchikov spin chain
M. Jimbo, T. Miwa, F. Smirnov
In our previous works on the XXZ chain of spin one half, we have studied the problem of constructing a basis of local operators whose members have simple vacuum expectation values.…