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PreprintCC BY 4.0arXiv

Graviton vertex operators in the de Donder gauge and BRST descent

  • Isao Kishimoto
  • Tomohiko Takahashi
  • Mamiko Yamada
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Abstract

We revisit the role of the trace sector of the graviton in covariant string amplitudes by constructing the ghost-number-three graviton vertex operator via BRST descent, imposing only the de Donder gauge condition without requiring tracelessness. The resulting operator is well defined even at zero momentum, while for nonzero momentum the trace-dependent sector of the descent chain forms a trivial BRST descent chain. Evaluating its disk one-point function in the presence of a Dp-brane, we show that the trace-dependent term is essential for reproducing the correct graviton-brane coupling, canceling the Dirichlet-direction contributions and leaving the expected coupling to the world-volume components.

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Cite

BibTeXRIS
BibTeX
@misc{kishimoto2026graviton,
  title = {{Graviton vertex operators in the de Donder gauge and BRST descent}},
  author = {Isao Kishimoto and Tomohiko Takahashi and Mamiko Yamada},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11272},
  eprint = {2609.11272},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11272},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Graviton vertex operators in the de Donder gauge and BRST descent
AU  - Isao Kishimoto
AU  - Tomohiko Takahashi
AU  - Mamiko Yamada
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11272
UR  - https://arxiv.org/abs/2609.11272
AB  - We revisit the role of the trace sector of the graviton in covariant string amplitudes by constructing the ghost-number-three graviton vertex operator via BRST descent, imposing only the de Donder gauge condition without requiring tracelessness. The resulting operator is well defined even at zero momentum, while for nonzero momentum the trace-dependent sector of the descent chain forms a trivial BRST descent chain. Evaluating its disk one-point function in the presence of a Dp-brane, we show that the trace-dependent term is essential for reproducing the correct graviton-brane coupling, canceling the Dirichlet-direction contributions and leaving the expected coupling to the world-volume components.
ER  -