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Article
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Summary: In this paper, we investigate the non-unitary deformations of the two-dimensional Tricritical Ising Model by coupling its two spin Z(2) odd operators to imaginary magnetic fields. By varying the strengths of these imaginary magnetic fields and adjusting the coupling constants of the two spin Z(2) even fields accordingly, we identify two universality classes of infrared fixed points on the critical surface. We argue that these classes are controlled by the non-unitary minimal models M(2, 5) and M(2, 7) respectively, supported by considerations based on PT symmetry and the extension of Zamolodchikov's c-theorem, and verified numerically using the truncated conformal space approach. Our results are consistent with a previous numerical study of the lattice version of the Tricritical Ising Model [1]. We also conjecture the universality classes corresponding to higher non-unitary multicritical points obtained by perturbing the conformal unitary models with imaginary coupling magnetic fields.
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Summary: This study investigates the effects of leading and sub-leading magnetic perturbations on the thermal E7 integrable deformation of the tricritical Ising model, revealing the confinement of excitations in different phases and analyzing the meson spectrum using semiclassical quantization with two different types of excitations.
Article
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Summary: The thermal deformation of the 2D tricritical Ising model leads to an exact scattering theory based on the E-7 Lie algebra. The duality between the high and low temperature phases guarantees the relationship between the leading and sub-leading magnetisation operators and their associated disorder operators. The article presents the bootstrap equations for these operators and shows that their solutions are not independent. The derived form factors are used to compute the exact dynamical structure factors of the theory.
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Summary: In this study, we investigated the decay of false vacuum in scaling Ising and tricritical Ising field theories using the truncated conformal space approach. We compared our numerical results with theoretical predictions in the thin wall limit. The Ising case confirmed previous studies but with a discrepancy in the overall coefficient. The tricritical Ising model allowed us to explore more exotic vacuum degeneracy structures and investigate novel scenarios of false vacuum decay by lifting the vacuum degeneracy using different perturbations.
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Summary: In this study focusing on the Ising transition, a detailed link between microscopics and low-energy physics emerging at criticality is established by constructing lattice incarnations of primary fields in the underlying Ising CFT and computing correlations of microscopic Rydberg operators. The research further determines how Ising fields evolve when four-fermion couplings drive an instability to Ising tricriticality. The results pave the way for a thorough experimental characterization of Ising criticality in Rydberg arrays and can inform the design of novel higher-dimensional phases based on coupled critical chains.
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