# Form Factors of $SU(N)$ Invariant Thirring Model

### Yoshihiro Takeyama

Kyoto University, Japan

## Abstract

We obtain a new integral formula for solutions of the rational quantum Knizhnik–Zamolodchikov equation associated with Lie algebra $sl_{N}$ at level zero. Our formula contains the integral representation of form factors of $SU(N)$ 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.

## Cite this article

Yoshihiro Takeyama, Form Factors of $SU(N)$ Invariant Thirring Model. Publ. Res. Inst. Math. Sci. 39 (2003), no. 1, pp. 59–116

DOI 10.2977/PRIMS/1145476149