Excitations in the dilute A_L lattice model: E_6, E_7 and E_8 mass spectra

TL;DR

This paper proposes formulas for excitations in dilute A_4 and A_6 models, successfully matching the E_7 and E_6 mass spectra and numerical eigenvalues, based on the exact perturbation approach.

Contribution

It introduces new excitation expressions for dilute A_4 and A_6 models that satisfy inversion relations and match known mass spectra.

Findings

Successfully derived E_7 and E_6 mass spectra expressions.

Confirmed agreement with numerical eigenvalues.

Validated the excitation formulas against universal amplitudes.

Abstract

On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A_3 model, we propose expressions for excitations in the dilute A_4 and A_6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E_7 and E_6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.