Conformally covariant boundary correlation functions with a quantum group (Q2302422)

In the paper under review the partial differential equations for correlation functions of primary fields in the case when their weight lie in in the so-called Kac table found by Benoit and Saint-Aubin. The main result is a construction of solution of these equations in the integral form. The construction involves a quantum group \(U_q(sl_2)\). The authors form a tensor product of \(n\) irreducible representations of the quantum group, and to its vectors we associate certain functions of integral form. This function turns out to be a solution of the Benoit and Saint-Aubin equations.