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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Holographic two-point functions of heavy operators revisited

  • Prokopii Anempodistov
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Abstract

In this paper we investigate the holographic computation of the two-point functions of 1/2-BPS chiral primary operators with scaling dimensions Δ∼ N or Δ∼ N2 in 𝒩=4SU(N) SYM using Type IIB supergravity. First we consider giant graviton operators, resolving ambiguities in the previous literature on holographic computation of the two-point function, and make a new proposal for this calculation. We argue that the D3-brane action for the giant gravitons (as well as for their 1/4- and 1/8-BPS counterparts) should contain additional boundary terms which arise naturally from the path integral and which are required to make the variational problem well-defined. We derive the form of these terms and show that the corrected action has an on-shell value that reproduces the two-point function of the gauge theory operators. Then we consider operators with Δ∼ N2 and calculate the two-point function by evaluating the Gibbons-Hawking-York boundary term in the Type IIB pseudo-action in the Lin-Lunin-Maldacena bubbling geometry background.

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Cite

BibTeXRIS
BibTeX
@article{anempodistov2026holographic,
  title = {{Holographic two-point functions of heavy operators revisited}},
  author = {Prokopii Anempodistov},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = sep,
  doi = {10.1007/jhep09(2026)088},
  eprint = {2603.28880},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05584858v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Holographic two-point functions of heavy operators revisited
AU  - Prokopii Anempodistov
PY  - 2026
DA  - 2026/09/07
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep09(2026)088
UR  - https://hal.science/hal-05584858v1
AB  - In this paper we investigate the holographic computation of the two-point functions of 1/2-BPS chiral primary operators with scaling dimensions Δ∼ N or Δ∼ N^2 in 𝒩=4SU(N) SYM using Type IIB supergravity. First we consider giant graviton operators, resolving ambiguities in the previous literature on holographic computation of the two-point function, and make a new proposal for this calculation. We argue that the D3-brane action for the giant gravitons (as well as for their 1/4- and 1/8-BPS counterparts) should contain additional boundary terms which arise naturally from the path integral and which are required to make the variational problem well-defined. We derive the form of these terms and show that the corrected action has an on-shell value that reproduces the two-point function of the gauge theory operators. Then we consider operators with Δ∼ N^2 and calculate the two-point function by evaluating the Gibbons-Hawking-York boundary term in the Type IIB pseudo-action in the Lin-Lunin-Maldacena bubbling geometry background.
SN  - 1126-6708
SN  - 1029-8479
ER  -