The tricritical Ising CFT and conformal bootstrap
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917136095510528 |
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| author | Henriksson, Johan |
| author_facet | Henriksson, Johan |
| contents | The tricritical Ising CFT is the IR fixed-point of $λϕ^6$ theory. It can be seen as a one-parameter family of CFTs connecting between an $\varepsilon$-expansion near the upper critical dimension 3 and the exactly solved minimal model in $d=2$. We review what is known about the tricritical Ising CFT, and study it with the numerical conformal bootstrap for various dimensions. Using a mixed system with three external operators $\{ϕ\simσ,ϕ^2\sim ε,ϕ^3\simσ'\}$, we find three-dimensional "bootstrap islands" in $d=2.75$ and $d=2.5$ dimensions consistent with interpolations between the perturbative estimates and the 2d exact values. In $d=2$ and $d=2.25$ the setup is not strong enough to isolate the theory. This paper also contains a survey of the perturbative spectrum and a review of results from the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The tricritical Ising CFT and conformal bootstrap Henriksson, Johan High Energy Physics - Theory Statistical Mechanics The tricritical Ising CFT is the IR fixed-point of $λϕ^6$ theory. It can be seen as a one-parameter family of CFTs connecting between an $\varepsilon$-expansion near the upper critical dimension 3 and the exactly solved minimal model in $d=2$. We review what is known about the tricritical Ising CFT, and study it with the numerical conformal bootstrap for various dimensions. Using a mixed system with three external operators $\{ϕ\simσ,ϕ^2\sim ε,ϕ^3\simσ'\}$, we find three-dimensional "bootstrap islands" in $d=2.75$ and $d=2.5$ dimensions consistent with interpolations between the perturbative estimates and the 2d exact values. In $d=2$ and $d=2.25$ the setup is not strong enough to isolate the theory. This paper also contains a survey of the perturbative spectrum and a review of results from the literature. |
| title | The tricritical Ising CFT and conformal bootstrap |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2501.18711 |