Tensor Galileons as Lovelock theories

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.

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

References in corpus (1)

• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors