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PreprintCC BY 4.0arXiv

A note on gauge-covariant vertex operators of the ambitwistor string

  • Osvaldo Chandia
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Abstract

We construct gauge-covariant unintegrated vertex operators in an antighost-independent subcomplex of the bosonic ambitwistor string. For a linearized gauge field, a world-sheet ghost-derivative term completes the standard vertex so that BRST closure imposes pnFnmI=0 without the Lorenz condition. In the rank-two sector we use an antighost-free ansatz that is sufficient to isolate a diffeomorphism-invariant spin-two subsector. After eliminating auxiliary fields and consistently setting the antisymmetric and scalar combinations to zero, BRST closure gives Rmn=0 without imposing transversality. We distinguish this construction from the full relative BRST cohomology of the bosonic ambitwistor string, whose additional antighost-dependent states lead to the known higher-derivative spectrum.

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Cite

BibTeXRIS
BibTeX
@misc{chandia2026note,
  title = {{A note on gauge-covariant vertex operators of the ambitwistor string}},
  author = {Osvaldo Chandia},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27026},
  eprint = {2609.27026},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27026},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on gauge-covariant vertex operators of the ambitwistor string
AU  - Osvaldo Chandia
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.27026
UR  - https://arxiv.org/abs/2609.27026
AB  - We construct gauge-covariant unintegrated vertex operators in an antighost-independent subcomplex of the bosonic ambitwistor string. For a linearized gauge field, a world-sheet ghost-derivative term completes the standard vertex so that BRST closure imposes p^nF_nmI=0 without the Lorenz condition. In the rank-two sector we use an antighost-free ansatz that is sufficient to isolate a diffeomorphism-invariant spin-two subsector. After eliminating auxiliary fields and consistently setting the antisymmetric and scalar combinations to zero, BRST closure gives R_mn=0 without imposing transversality. We distinguish this construction from the full relative BRST cohomology of the bosonic ambitwistor string, whose additional antighost-dependent states lead to the known higher-derivative spectrum.
ER  -