  It has been suggested in arXiv:2004.00613 that in Dp-brane holography,
entanglement in the target space of the D-brane Yang-Mills theory provides a
precise notion of bulk entanglement in the gravity dual. We expand on this
discussion by providing a gauge invariant characterization of operator
sub-algebras corresponding to such entanglement. This is achieved by finding a
projection operator which imposes a constraint characterizing the target space
region of interest. By considering probe branes in the Coulomb branch we
provide motivation for why the operator sub-algebras we consider are
appropriate for describing a class of measurements carried out with low-energy
probes in the corresponding bulk region of interest. We derive expressions for
the corresponding Renyi entropies in terms of path integrals which can be
directly used in numerical calculations.
