# Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model

## TL;DR

This paper constructs a free field representation of the ZF algebra for the SU(N)xSU(N) PCF model and derives integral formulas for form factors of exponential fields, advancing the mathematical understanding of this integrable quantum field theory.

## Contribution

It introduces a novel free field representation of the ZF algebra for the SU(N)xSU(N) PCF model and provides explicit integral formulas for form factors.

## Key findings

- Free field representation of ZF algebra constructed
- Integral formulas for form factors derived
- Enhances mathematical tools for SU(N)xSU(N) PCF model

## Abstract

A free field representation of the Zamolodchikov-Faddeev algebra of the SU(N)xSU(N) Principal Chiral Field model is constructed, and used to derive an integral representation for form factors of a multi-parameter family of exponential fields.