  We investigate left-right symmetric extensions of the standard model based on
open strings ending on D-branes, with gauge bosons due to strings attached to
stacks of D-branes and chiral matter due to strings stretching between
intersecting D-branes. The left-handed and right-handed fermions transform as
doublets under Sp(1)_L and Sp(1)_R, and so their masses must be generated by
the introduction of Higgs fields in a bi-fundamental (2,2) representation under
the two Sp(1) gauge groups. For such D-brane configurations the left-right
symmetry must be broken by Higgs fields in the doublet representation of
Sp(1)_R and therefore Majorana mass terms are suppressed by some higher physics
scale. The left-handed and right-handed neutrinos pair up to form Dirac
fermions which control the decay widths of the right-handed W' boson to yield
comparable branching fractions into dilepton and dijets channels. Using the
most recent searches at LHC13 Run II with 2016 data we constrain the (g_R,
m_{W'}) parameter space. Our analysis indicates that independent of the
coupling strength g_R, gauge bosons with masses m_{W'} \agt 3.5~{\rm TeV} are
not ruled out. As the LHC is just beginning to probe the TeV-scale, significant
room for W' discovery remains.
