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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.20710 |
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| _version_ | 1866908730746994688 |
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| author | Karateev, Denis Kravchuk, Petr Manenti, Andrea Reehorst, Marten Vichi, Alessandro |
| author_facet | Karateev, Denis Kravchuk, Petr Manenti, Andrea Reehorst, Marten Vichi, Alessandro |
| contents | We study four-dimensional conformal field theories (CFTs) with an abelian $U(1)$ global symmetry using the conformal bootstrap approach. We obtain numerical bounds on the scaling dimensions of low-lying operators, the stress-tensor central charge, and a particular combination of the 't Hooft anomaly and the current central charge. Our analysis provides the first non-perturbative constraints on four-dimensional CFTs with conserved abelian currents and establishes a framework that can be extended to theories with non-abelian global symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounds on Abelian Currents in 4d CFTs Karateev, Denis Kravchuk, Petr Manenti, Andrea Reehorst, Marten Vichi, Alessandro High Energy Physics - Theory High Energy Physics - Lattice We study four-dimensional conformal field theories (CFTs) with an abelian $U(1)$ global symmetry using the conformal bootstrap approach. We obtain numerical bounds on the scaling dimensions of low-lying operators, the stress-tensor central charge, and a particular combination of the 't Hooft anomaly and the current central charge. Our analysis provides the first non-perturbative constraints on four-dimensional CFTs with conserved abelian currents and establishes a framework that can be extended to theories with non-abelian global symmetries. |
| title | Bounds on Abelian Currents in 4d CFTs |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2512.20710 |