Quantum Knizhnik--Zamolodchikov equation for $U_q(\widehat{s{l}_n})$ and integral formula

Abstract

Presented is an integral formula for solutions to the quantum Knizhnik--Zamolodchikov equation of level $0$ associated with the vector representation of $U_q(\widehat{s{l}_n})$. This formula gives a generalization of both our previous work for $U_q(\widehat{s{l}_2})$ and Smirnov's formula for form factors of $SU(n)$ chiral Gross-Neveu model.

23 pages, LaTEX