An Atlas for 3d conformal field theories with a U(1) global symmetry
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)237 |
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| author | Samuel Bartlett-Tisdall Christopher P. Herzog Vladimir Schaub |
| author_facet | Samuel Bartlett-Tisdall Christopher P. Herzog Vladimir Schaub |
| author_sort | Samuel Bartlett-Tisdall |
| collection | DOAJ |
| description | Abstract 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 | Article |
| id | doaj-art-99e3339c80544359a0417bf11cd9da91 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-99e3339c80544359a0417bf11cd9da912025-08-20T03:42:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025611910.1007/JHEP06(2025)237An Atlas for 3d conformal field theories with a U(1) global symmetrySamuel Bartlett-Tisdall0Christopher P. Herzog1Vladimir Schaub2Department of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract 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.https://doi.org/10.1007/JHEP06(2025)237Boundary Quantum Field TheoryScale and Conformal Symmetries |
| spellingShingle | Samuel Bartlett-Tisdall Christopher P. Herzog Vladimir Schaub An Atlas for 3d conformal field theories with a U(1) global symmetry Journal of High Energy Physics Boundary Quantum Field Theory Scale and Conformal Symmetries |
| title | An Atlas for 3d conformal field theories with a U(1) global symmetry |
| title_full | An Atlas for 3d conformal field theories with a U(1) global symmetry |
| title_fullStr | An Atlas for 3d conformal field theories with a U(1) global symmetry |
| title_full_unstemmed | An Atlas for 3d conformal field theories with a U(1) global symmetry |
| title_short | An Atlas for 3d conformal field theories with a U(1) global symmetry |
| title_sort | atlas for 3d conformal field theories with a u 1 global symmetry |
| topic | Boundary Quantum Field Theory Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP06(2025)237 |
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