Angular quantization and form-factors in massive integrable models

TL;DR

This paper applies angular quantization to reconstruct form-factors in massive integrable models, providing new free field representations and exploring their relation to deformations of the Virasoro algebra.

Contribution

It introduces a novel application of angular quantization to form-factor reconstruction and reveals a new deformation of the Virasoro algebra in the context of the Bullough-Dodd model.

Findings

Successful reconstruction of form-factors for multiple models

New free field representations for exponential operators

Identification of a novel Virasoro algebra deformation

Abstract

We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of exponential operators. We discuss an intriguing relation between the free field representations and deformations of the Virasoro algebra. The deformation associated with the Bullough-Dodd models appears to be different from the known deformed Virasoro algebra.