  In this work, we investigate the bosonic chiral string in the sectorized
interpretation, computing its spectrum, kinetic action and $3$-point
amplitudes. As expected, the bosonic ambitwistor string is recovered in the
tensionless limit.
  We also consider an extension of the bosonic model with current algebras. In
that case, we compute the effective action and show that it is essentially the
same as the action of the mass-deformed $(DF)^{2}$ theory found by Johansson
and Nohle. Aspects which might seem somewhat contrived in the original
construction --- such as the inclusion of a scalar transforming in some real
representation of the gauge group --- are shown to follow very naturally from
the worldsheet formulation of the theory.
