Form factors in the massless coset models su(2)_{k+1} \otimes su(2)_k /su(2)_{2k+1} - Part I

TL;DR

This paper constructs form factors for massless flows between specific coset models and minimal models, including the Tricritical Ising to Ising flow, and compares numerical results with exact values.

Contribution

It introduces a method to compute form factors for these flows and performs numerical checks, highlighting discrepancies with exact results.

Findings

Form factors of the trace operator are constructed for arbitrary particle numbers.

Numerical checks show large discrepancies with exact central charge results.

The approach provides insights into the structure of massless flows in conformal field theories.

Abstract

Massless flows between the coset model su(2)_{k+1} \otimes su(2)_k /su(2)_{2k+1} and the minimal model M_{k+2} are studied from the viewpoint of form factors. These flows include in particular the flow between the Tricritical Ising model and the Ising model. Form factors of the trace operator with an arbitrary number of particles are constructed, and numerical checks on the central charge are performed with four particles contribution. Large discrepancies with respect to the exact results are observed in most cases.