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PreprintCC BY 4.0arXiv

In light of the Henneaux-Teitelboim action

Abstract

We construct an action similar to the Henneaux-Teitelboim action on a six dimensional Lorentzian manifold where the time direction is chosen to be lightlike and generated by a conformal lightlike Killing vector U. We show that such an action exists only if there is another commuting light-like conformal Killing vector V with properties that can be realized by the Dirac currents of two conformal Killing spinors. We extend the action to the (1,0) supersymmetric tensor multiplet.

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BibTeX
@misc{gustavsson2026light,
  title = {{In light of the Henneaux-Teitelboim action}},
  author = {Andreas Gustavsson},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07180},
  eprint = {2611.07180},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07180},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - In light of the Henneaux-Teitelboim action
AU  - Andreas Gustavsson
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.07180
UR  - https://arxiv.org/abs/2611.07180
AB  - We construct an action similar to the Henneaux-Teitelboim action on a six dimensional Lorentzian manifold where the time direction is chosen to be lightlike and generated by a conformal lightlike Killing vector U. We show that such an action exists only if there is another commuting light-like conformal Killing vector V with properties that can be realized by the Dirac currents of two conformal Killing spinors. We extend the action to the (1,0) supersymmetric tensor multiplet.
ER  -