  Four-dimensional N=4 super Yang-Mills, with a codimension-one defect breaking
half of the supersymmetry, arises as the field theory description of the D3/D5
intersection in the holographic limit. This is one of the earliest, most
extensively studied, and commonly used systems in holography. In this note we
give the full R-symmetry-covariant supersymmetry variations for this system. We
also provide the supercurrents and compute the algebra of the corresponding
supercharges, obtaining the full set of central charges. We show that
magnetically charged finite-energy field configurations preserving half of the
supersymmetry are solutions to a new form of the extended Bogomolny equations,
in which the defect fields play the role of jumping data for the Nahm-like part
of the equations. In the appendices, we explain the connection between our
results and the superspace-based formulations in the literature.
