Form Factors and Correlation Functions of the Stress--Energy Tensor in Massive Deformation of the Minimal Models $\left( E_n \right)_1 \otimes\left( E_n \right)_1/\left( E_n \right)_2$

TL;DR

This paper investigates the algebraic structures governing deformations of minimal models, specifically focusing on the stress-energy tensor's form factors and correlation functions in models related to exceptional algebras.

Contribution

It introduces a novel approach using Dynkin diagram structures and discrete symmetries to compute stress-energy tensor form factors and correlations in deformed minimal models.

Findings

Computed matrix elements of the stress-energy tensor.

Derived two-point correlation functions.

Linked algebraic structures to physical observables.

Abstract

The magnetic deformation of the Ising Model, the thermal deformations of both the Tricritical Ising Model and the Tricritical Potts Model are governed by an algebraic structure based on the Dynkin diagram associated to the exceptional algebras $E_n$ (respectively for $n=8,7,6$). We make use of these underlying structures as well as of the discrete symmetries of the models to compute the matrix elements of the stress--energy tensor and its two--point correlation function by means of the spectral representation method.