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PreprintCC BY 4.0arXiv

Null string holography in AdS from local BRST descent

  • Sarthak Duary
  • Sourav Maji
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Abstract

We show that the radial sector of a Carroll-Weyl gauged null string in Poincaré AdSD is locally trivial in BRST cohomology. In a quotient-adapted BFV basis, the radial coordinate, its conjugate momentum, and the associated ghosts form a contractible quartet. An explicit contracting homotopy extends this reduction to the full algebra of local spatial jets, leaving precisely the (D−1)-dimensional ILST BRST complex. The same quartet carries zero net Virasoro central charge, so that the anomaly condition of the parent theory, D=27, descends to the ILST condition d=26.

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Cite

BibTeXRIS
BibTeX
@misc{duary2026null,
  title = {{Null string holography in AdS from local BRST descent}},
  author = {Sarthak Duary and Sourav Maji},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10540},
  eprint = {2610.10540},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10540},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Null string holography in AdS from local BRST descent
AU  - Sarthak Duary
AU  - Sourav Maji
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.10540
UR  - https://arxiv.org/abs/2610.10540
AB  - We show that the radial sector of a Carroll-Weyl gauged null string in Poincaré AdS_D is locally trivial in BRST cohomology. In a quotient-adapted BFV basis, the radial coordinate, its conjugate momentum, and the associated ghosts form a contractible quartet. An explicit contracting homotopy extends this reduction to the full algebra of local spatial jets, leaving precisely the (D−1)-dimensional ILST BRST complex. The same quartet carries zero net Virasoro central charge, so that the anomaly condition of the parent theory, D=27, descends to the ILST condition d=26.
ER  -