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Bootstrapping currents and stress tensors in 3d CFTs

  • Vasiliy Dommes
  • Rajeev S Erramilli
  • Colum Flynn
  • Alexandre Homrich
  • Petr Kravchuk
  • David Poland
  • David Simmons-Duffin
  • George Yuzhe Zhou
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Abstract

We perform a numerical conformal bootstrap study of the mixed system of correlation functions involving a spin-1 U(1) current J and the stress-energy tensor T in parity-preserving 3d CFTs. We find universal bounds on the stress-tensor two-point function cT, which numerically reproduce the conformal collider bounds on ⟨ JJT⟩ and ⟨ TTT⟩, as well as bounds on the leading parity-even and parity-odd scalar operator dimensions. Under mild assumptions, we determine the values of the ⟨ JJT⟩ and ⟨ TTT⟩ three-point functions in the O(2) vector model. The ⟨ TTT⟩ result is new and ⟨ JJT⟩ is consistent with a previous result in the literature.

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Cite

BibTeXRIS
BibTeX
@misc{dommes2026bootstrapping,
  title = {{Bootstrapping currents and stress tensors in 3d CFTs}},
  author = {Vasiliy Dommes and Rajeev S Erramilli and Colum Flynn and Alexandre Homrich and Petr Kravchuk and David Poland and David Simmons-Duffin and George Yuzhe Zhou},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13370},
  eprint = {2609.13370},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05763205v1},
}
RIS
TY  - UNPB
TI  - Bootstrapping currents and stress tensors in 3d CFTs
AU  - Vasiliy Dommes
AU  - Rajeev S Erramilli
AU  - Colum Flynn
AU  - Alexandre Homrich
AU  - Petr Kravchuk
AU  - David Poland
AU  - David Simmons-Duffin
AU  - George Yuzhe Zhou
PY  - 2026
DA  - 2026/09/11
PB  - HAL
DO  - 10.48550/arxiv.2609.13370
UR  - https://hal.science/hal-05763205v1
AB  - We perform a numerical conformal bootstrap study of the mixed system of correlation functions involving a spin-1 U(1) current J and the stress-energy tensor T in parity-preserving 3d CFTs. We find universal bounds on the stress-tensor two-point function c_T, which numerically reproduce the conformal collider bounds on ⟨ JJT⟩ and ⟨ TTT⟩, as well as bounds on the leading parity-even and parity-odd scalar operator dimensions. Under mild assumptions, we determine the values of the ⟨ JJT⟩ and ⟨ TTT⟩ three-point functions in the O(2) vector model. The ⟨ TTT⟩ result is new and ⟨ JJT⟩ is consistent with a previous result in the literature.
ER  -