Special Functions, KZ Type Equations, and Representation Theory

Varchenko (University of North Carolina) examines the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multi-dimensional hypergeometric functions, providing constructions, discussion of notions, statements of main results, and i

The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its sqs-deformations. In the book, the autho

Hypergeometric solutions of KZ equations; Cycles of integrals and the monodromy of the KZ equation; Selberg integral, determinant formulas, and dynamical equations; Critical points of master functions and the Bethe ansatz; Elliptic hypergeometric function