417 citations · 2.1k across the 83 of their papers we have counts for
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Algebraic integrability of the two-body Ruijsenaars operator
Giovanni Felder, Alexander Varchenko
We study the algebra of difference operators that commute with the two-body Ruijsenaars operator, a -deformation of the Lamé differential operator, for generic values of the def…
The KZB equations on Riemann surfaces
Giovanni Felder
In this paper, based on the author's lectures at the 1995 les Houches Summer school, explicit expressions for the Friedan--Shenker connection on the vector bundle of WZW conformal…
Solutions of the elliptic qKZB equations and Bethe ansatz I
Giovanni Felder, Alexander Varchenko, Vitaly Tarasov
We give an integral representation for solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations, in the case of sl(2). The result is based on a geometr…
Algebraic Bethe ansatz for the elliptic quantum group
Giovanni Felder, Alexander Varchenko
To each representation of the elliptic quantum group is associated a family of commuting transfer matrices. We give common eigenvectors by a version of the algebrai…
On representations of the elliptic quantum group
Giovanni Felder, Alexander Varchenko
We describe representation theory of the elliptic quantum group . It turns out that the representation theory is parallel to the representation theory of the Yangian…