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We compute the form factors of the order and disorder operators, togetherwith those of the stress-energy tensor, of the two-dimensional three-statePotts model with vacancies along its thermal deformation of the critical point.At criticality the model is described by the non-diagonal partition function ofthe unitary minimal model $\mathcal{M}_{6,7}$ of conformal field theories andis accompanied by an internal $S_3$ symmetry. Its off-critical thermaldeformation is an integrable massive theory which is still invariant under$S_3$. The presence of infinitely many conserved quantities, whose spinspectrum is related to the exceptional Lie algebra $E_6$, allows us todetermine the analytic $S$-matrix, the exact mass spectrum and the matrixelements of local operators of this model in an exact non-perturbative way. Weuse the spectral representation series of the correlators and the fastconvergence of these series to compute several universal ratios of theRenormalization Group.

Form Factors of the Tricritical Three-state Potts Model in its Scaling Limit