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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Bounds on abelian currents in 4d CFTs

  • Denis Karateev1
  • Petr Kravchuk2
  • Andrea Manenti3
  • Marten Reehorst2
  • Alessandro Vichi4
4 affiliations
  1. 1Université de Genève
  2. 2King’s College London
  3. 3Uppsala University
  4. 4University of Pisa and INFN
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Abstract

A bstract : 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.

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Cite

BibTeXRIS
BibTeX
@article{karateev2026bounds,
  title = {{Bounds on abelian currents in 4d CFTs}},
  author = {Denis Karateev and Petr Kravchuk and Andrea Manenti and Marten Reehorst and Alessandro Vichi},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)234},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)234},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Bounds on abelian currents in 4d CFTs
AU  - Denis Karateev
AU  - Petr Kravchuk
AU  - Andrea Manenti
AU  - Marten Reehorst
AU  - Alessandro Vichi
PY  - 2026
DA  - 2026/10/22
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)234
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)234
AB  - A bstract : 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.
SN  - 1029-8479
ER  -