  We explore the effective field theory for single and multiple interacting
pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we
show that among the parameters contributing to elastic tree level scattering
amplitude, there is no region of compatibility of the leading interactions with
a standard local UV completion. Our result generalizes to any number of
interacting pseudo-linear spin-2 fields. These results have significant
implications for the organization of the effective field theory expansion for
pseudo-linear fields.
