Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908384141246464 |
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| author | Miro, Joan Elias Delouche, Olivier |
| author_facet | Miro, Joan Elias Delouche, Olivier |
| contents | We employ the Fuzzy Sphere regulator to study the 3D Lee-Yang CFT. The model is defined by deforming the Ising model on the Fuzzy Sphere via a purely imaginary longitudinal magnetic field. This model undergoes a quantum phase transition, whose critical point we determine and identify with the 3D Lee-Yang CFT. We show how to tune the model and find that the lowest-lying states of the Hamiltonian align well with the expected CFT spectrum. We discuss the Fuzzy Sphere estimates for the scaling dimension $Δ_ϕ$ of the lowest primary operator. Finally, we interpret small deviations from the CFT expectations in terms of the leading irrelevant operators of the Lee-Yang CFT. We show that the Fuzzy Sphere calculations are compatible with the best five-loop $ε$-expansion estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT Miro, Joan Elias Delouche, Olivier High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice We employ the Fuzzy Sphere regulator to study the 3D Lee-Yang CFT. The model is defined by deforming the Ising model on the Fuzzy Sphere via a purely imaginary longitudinal magnetic field. This model undergoes a quantum phase transition, whose critical point we determine and identify with the 3D Lee-Yang CFT. We show how to tune the model and find that the lowest-lying states of the Hamiltonian align well with the expected CFT spectrum. We discuss the Fuzzy Sphere estimates for the scaling dimension $Δ_ϕ$ of the lowest primary operator. Finally, we interpret small deviations from the CFT expectations in terms of the leading irrelevant operators of the Lee-Yang CFT. We show that the Fuzzy Sphere calculations are compatible with the best five-loop $ε$-expansion estimates. |
| title | Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2505.07655 |