Form Factors of $\text{SU}(N)$ Invariant Thirring Model

Abstract

We obtain a new integral formula for solutions of the rational quantum Knizhnik–Zamolodchikov equation associated with Lie algebra ${\text{sl}}_N$ at level zero. Our formula contains the integral representation of form factors of $\text{SU}(N)$ invariant Thirring model constructed by F. Smirnov. We write down recurrence relations arising from the construction of the form factors. We check that the recurrence relations hold for the form factors of the energy momentum tensor.