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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.01608 |
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| _version_ | 1866908337060184064 |
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| author | Bartlett-Tisdall, Samuel Herzog, Christopher P. Schaub, Vladimir |
| author_facet | Bartlett-Tisdall, Samuel Herzog, Christopher P. Schaub, Vladimir |
| contents | We present a collection of numerical bootstrap computations for 3d CFTs with a U(1) global symmetry. We test the accuracy of our method and fix conventions through a computation of bounds on the OPE coefficients for low-lying operators in the free fermion, free scalar, and generalised free vector field theories. We then compute new OPE bounds for scalar operators in the Gross-Neveu-Yukawa model, $O(2)$ model, and large $N$ limit of the $O(N)$ model. Additionally, we present a number of exclusion plots for such 3d CFTs. In particular, we look at the space of even and odd parity scalar operators in the low-lying spectrum that are compatible with crossing symmetry. As well as recovering the known theories, there are some kinks that indicate new unknown theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01608 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry Bartlett-Tisdall, Samuel Herzog, Christopher P. Schaub, Vladimir High Energy Physics - Theory We present a collection of numerical bootstrap computations for 3d CFTs with a U(1) global symmetry. We test the accuracy of our method and fix conventions through a computation of bounds on the OPE coefficients for low-lying operators in the free fermion, free scalar, and generalised free vector field theories. We then compute new OPE bounds for scalar operators in the Gross-Neveu-Yukawa model, $O(2)$ model, and large $N$ limit of the $O(N)$ model. Additionally, we present a number of exclusion plots for such 3d CFTs. In particular, we look at the space of even and odd parity scalar operators in the low-lying spectrum that are compatible with crossing symmetry. As well as recovering the known theories, there are some kinks that indicate new unknown theories. |
| title | An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.01608 |