An integral solution to the quantum Knizhnik-Zamolodchikov (qKZ) equation with| q|= 1 is
presented. Upon specialization, it leads to a conjectural formula for correlation functions of …

Abstract The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type
and the face type. On the basis of these solutions, two types of elliptic quantum groups have …

Correlation functions and form factors in vertex models or spin chains are known to satisfy
certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find …

We introduce an elliptic algebra with and present its free boson representation at generic
level k. We show that this algebra governs a structure of the space of states in the k-fusion …

We introduce a new elliptic quantum toroidal algebra U q, t, p (gl 1, tor). Various
representations in the quantum toroidal algebra U q, t (gl 1, tor) are extended to the elliptic …

These lectures were prepared to be presented at AA Belavin seminar on CFT at Landau
Institute for Theoretical Physics. We review bosonization of CFT and show how it can be …

The standard modules for an affine Lie algebra $\ga $ have natural subquotients called
parafermionic spaces--the underlying spaces for the so-called parafermionic conformal field …

By using the elliptic analogue of the Drinfeld currents in the elliptic algebra, we construct a L-
operator, which satisfies the RLL-relations characterizing the face type elliptic quantum …

We consider an algebraic structure of the $ XXZ $ model in the gapless regime. We argue
that a certain degeneration limit of the elliptic algebra $ A_ {q, p}(\widehat {sl_2}) $ is a …

We consider the XXZ quantum spin chain in its massless, disordered regime at zero field.
We derive an exact expression for the two-spinon form factor of by taking a limit of the …