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Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes

High Energy Physics - Theory 2023-03-01 v1

Abstract

We utilise a quotient of the universal enveloping algebra of the Poincar\'e algebra in three spacetime dimensions, on which we formulate a covariant constancy condition. The equations so obtained contain the Fierz-Pauli equations for non-interacting, massive higher-spin fields, and can thus be regarded as an unfolding of the Fierz-Pauli system. All fundamental fields completely decouple from each other. In the non-truncated case, the field content includes infinitely many copies of each field at fixed spin.

Keywords

Cite

@article{arxiv.2211.12530,
  title  = {Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes},
  author = {Martin Ammon and Michel Pannier},
  journal= {arXiv preprint arXiv:2211.12530},
  year   = {2023}
}