On the spaces of Dotsenko-Fateev integrals

Abstract

In two seminal papers Dotsenko and Fateev produced explicit integral formulas for some conformal blocks of conformal field theory. The structure of such integrals is illustrated by the following model. Let w{sub 1},{hor_ellipsis}, wk-1 be given distinct points on C,{mu},{hor_ellipsis},{sub {mu}1,{hor_ellipsis},{mu}k-1} and {mu} be complex parameters. Here and in what follows we shall use the index k to label the point at infinity and write w{sub k} = {infinity}.