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The doubly conformal dispersion relation

  • Maddalena Ferragatta
  • Balt C van Rees
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Abstract

We provide a simple derivation of the conformal dispersion relation of Carmi and Caron-Huot which reconstructs a CFT four-point function from its double discontinuity. We exhibit a hidden conformal symmetry which explains the appearance of the "magic variable" x as a simple cross-ratio, built from four physical cross-ratios. We also introduce a regulator in the double discontinuity operation and then prove that one subtraction suffices for all integrals to converge.

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Cite

BibTeXRIS
BibTeX
@misc{ferragatta2026doubly,
  title = {{The doubly conformal dispersion relation}},
  author = {Maddalena Ferragatta and Balt C van Rees},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20924},
  eprint = {2609.20924},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05781665v1},
}
RIS
TY  - UNPB
TI  - The doubly conformal dispersion relation
AU  - Maddalena Ferragatta
AU  - Balt C van Rees
PY  - 2026
DA  - 2026/09/17
PB  - HAL
DO  - 10.48550/arxiv.2609.20924
UR  - https://hal.science/hal-05781665v1
AB  - We provide a simple derivation of the conformal dispersion relation of Carmi and Caron-Huot which reconstructs a CFT four-point function from its double discontinuity. We exhibit a hidden conformal symmetry which explains the appearance of the "magic variable" x as a simple cross-ratio, built from four physical cross-ratios. We also introduce a regulator in the double discontinuity operation and then prove that one subtraction suffices for all integrals to converge.
ER  -