This Master's thesis deals with the computation of the form factors of the thermally deformed bidimensional three-state tricritical Potts model. This model at criticality falls into the universality class $\mathcal{M}_{6,7}$ of minimal models and can be described by a conformal field theory with an additional $S_3$ internal symmetry. Its off-critical thermal deformation not only preserves the $S_3$ internal symmetry, but also exhibits a remarkable property: integrability, i.e. the presence of infinitely many conserved quantities. As a consequence of the severe constraints imposed by this property, it is possible to find exact results for scattering amplitudes and form factors through non-perturbative techniques. Also the spins of conserved quantities are linked to the root system of the exceptional algebra $E_6$.
Fattori di forma nel modello di Potts tricritico bidimensionale deformato termicamente
STAMPIGGI, ANDREA
2021/2022
Abstract
This Master's thesis deals with the computation of the form factors of the thermally deformed bidimensional three-state tricritical Potts model. This model at criticality falls into the universality class $\mathcal{M}_{6,7}$ of minimal models and can be described by a conformal field theory with an additional $S_3$ internal symmetry. Its off-critical thermal deformation not only preserves the $S_3$ internal symmetry, but also exhibits a remarkable property: integrability, i.e. the presence of infinitely many conserved quantities. As a consequence of the severe constraints imposed by this property, it is possible to find exact results for scattering amplitudes and form factors through non-perturbative techniques. Also the spins of conserved quantities are linked to the root system of the exceptional algebra $E_6$.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.14240/86784