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PreprintCC BY 4.0arXiv

Heavy-Heavy-Light-Light correlators from holography on the worldsheet

  • MatĂ­as Colaneri
  • Diego H. Correa
  • VĂ­ctor I. Giraldo-Rivera
  • Nicolás A. Ivanovich
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Abstract

We study correlation functions of light local operators and defect changing operators on the conformal line set by the 1/2 BPS Wilson line of đť’©=4 super Yang-Mills. We consider the defect changing operators associated with geometrical and internal cusp angles, which at strong coupling have a large scaling dimension and back-react on the dual AdS2 world-sheet. We set up a holographic computation of correlation functions, in which the light operators are described by fluctuations around the cusped classical string solution, so that correlators of two defect changing operators and an arbitrary number of light protected operators are obtained from the on-shell action of these fluctuations. We implement this prescription in detail for the case of certain 4-point functions, with two light and two defect changing operators. Finally, since for small cusp angles the defect changing operators become light, we manage to derive relations satisfied by integrated correlators of light operators, valid at any coupling. We verify these relations at strong coupling for both internal and geometrical cusps.

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Cite

BibTeXRIS
BibTeX
@misc{colaneri2026heavyheavylightlight,
  title = {{Heavy-Heavy-Light-Light correlators from holography on the worldsheet}},
  author = {Matías Colaneri and Diego H. Correa and Víctor I. Giraldo-Rivera and Nicolás A. Ivanovich},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20602},
  eprint = {2610.20602},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20602},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Heavy-Heavy-Light-Light correlators from holography on the worldsheet
AU  - MatĂ­as Colaneri
AU  - Diego H. Correa
AU  - VĂ­ctor I. Giraldo-Rivera
AU  - Nicolás A. Ivanovich
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20602
UR  - https://arxiv.org/abs/2610.20602
AB  - We study correlation functions of light local operators and defect changing operators on the conformal line set by the 1/2 BPS Wilson line of đť’©=4 super Yang-Mills. We consider the defect changing operators associated with geometrical and internal cusp angles, which at strong coupling have a large scaling dimension and back-react on the dual AdS_2 world-sheet. We set up a holographic computation of correlation functions, in which the light operators are described by fluctuations around the cusped classical string solution, so that correlators of two defect changing operators and an arbitrary number of light protected operators are obtained from the on-shell action of these fluctuations. We implement this prescription in detail for the case of certain 4-point functions, with two light and two defect changing operators. Finally, since for small cusp angles the defect changing operators become light, we manage to derive relations satisfied by integrated correlators of light operators, valid at any coupling. We verify these relations at strong coupling for both internal and geometrical cusps.
ER  -