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Tensor Galileons as Lovelock theories

High Energy Physics - Theory 2021-01-12 v2

Abstract

We review the construction of Galileon interactions involving a single two-column mixed-symmetry tensor of arbitrary degree in flat spacetime of arbitrary dimensions, in a reverse engineering spirit. By defining an appropriate Riemann-like tensor for each of these tensor gauge fields, we show that the theories constructed in the spirit of Lovelock's theory of Gravity correspond to the well-known Galileon theories from the literature.

Keywords

Cite

@article{arxiv.2012.15668,
  title  = {Tensor Galileons as Lovelock theories},
  author = {Georgios Karagiannis},
  journal= {arXiv preprint arXiv:2012.15668},
  year   = {2021}
}

Comments

4 pages, v2: The material has been reorganized, several claims have been scaled down + references added

R2 v1 2026-06-23T21:38:58.998Z