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BRST-BV approach to fields in Poincare patch of AdS

  • R. R. Metsaev
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Abstract

We use the Poincare parametrization of AdS space to develop a general BRST-BV approach for free fields. A general expression for the BRST-BV Lagrangian of fields with arbitrary masses and symmetry types is obtained. We apply this general framework to study totally symmetric massless, massive, and partially-massless fields with arbitrary integer spin and a continuous-spin field. For these fields, the constrained and unconstrained BRST-BV formulations are developed. We investigate both irreducible and reducible fields. In addition, we demonstrate the matching between the obtained BRST-BV Lagrangian and the metric-like Lagrangian formulated in terms of the modified de Donder derivative. Finally, a realization of AdS space symmetries is obtained within the space of fields and antifields entering the BRST-BV formulation. Modulo the choice of the Poincare parametrization of AdS space, the Lagrangian and the entire approach are manifestly Lorentz invariant.

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Cite

BibTeXRIS
BibTeX
@misc{metsaev2026brstbv,
  title = {{BRST-BV approach to fields in Poincare patch of AdS}},
  author = {R. R. Metsaev},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.02495},
  eprint = {2607.02495},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.02495},
}
RIS
TY  - UNPB
TI  - BRST-BV approach to fields in Poincare patch of AdS
AU  - R. R. Metsaev
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2607.02495
UR  - https://arxiv.org/abs/2607.02495
AB  - We use the Poincare parametrization of AdS space to develop a general BRST-BV approach for free fields. A general expression for the BRST-BV Lagrangian of fields with arbitrary masses and symmetry types is obtained. We apply this general framework to study totally symmetric massless, massive, and partially-massless fields with arbitrary integer spin and a continuous-spin field. For these fields, the constrained and unconstrained BRST-BV formulations are developed. We investigate both irreducible and reducible fields. In addition, we demonstrate the matching between the obtained BRST-BV Lagrangian and the metric-like Lagrangian formulated in terms of the modified de Donder derivative. Finally, a realization of AdS space symmetries is obtained within the space of fields and antifields entering the BRST-BV formulation. Modulo the choice of the Poincare parametrization of AdS space, the Lagrangian and the entire approach are manifestly Lorentz invariant.
ER  -