On the quasiparticle description of c=1 CFTs

TL;DR

This paper demonstrates that the quasiparticle description of c=1 conformal field theories, characterized by fractional statistics, can be derived from the sine-Gordon model with a large chemical potential, linking it to the Calogero-Sutherland model.

Contribution

It establishes a direct connection between c=1 CFT quasiparticles and Calogero-Sutherland excitations, including a calculation of their 2-particle S-matrix.

Findings

Quasiparticles satisfy fractional statistics.

Derived the 2-particle S-matrix using Korepin's method.

Reinterpreted the Calogero-Sutherland S-matrix in terms of fractional charge particles.

Abstract

We show that the description of $c=1$ Conformal Field Theory in terms of quasiparticles satisfying fractional statistics can be obtained from the sine-Gordon model with a chemical potential $A$, in the limit where $A \gg M$. These quasiparticles are related to the excitations of the Calogero-Sutherland (CS) model. We provide a direct calculation of their 2-particle S-matrix using Korepin's method. We also reconsider the computation of the CS S-matrix in terms of particles with fractional charge.