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arXiv · 2311.00654

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

Giuseppe Mussardo·Marco Panero·Andrea Stampiggi
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Abstract

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

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Giuseppe Mussardo, Marco Panero, Andrea Stampiggi. 2023-11-01. Form Factors of the Tricritical Three-state Potts Model in its Scaling Limit. https://doi.org/10.1088/1742-5468%2Fad2926

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